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\frac{a}{0.27563735581699916} = \frac{b}{0.03489949670250097}
Evaluate trigonometric functions in the problem
\frac{25000000000000000}{6890933895424979}a=\frac{100000000000000000b}{3489949670250097}
The equation is in standard form.
\frac{\frac{25000000000000000}{6890933895424979}a}{\frac{25000000000000000}{6890933895424979}}=\frac{100000000000000000b}{\frac{25000000000000000}{6890933895424979}\times 3489949670250097}
Divide both sides of the equation by \frac{25000000000000000}{6890933895424979}, which is the same as multiplying both sides by the reciprocal of the fraction.
a=\frac{100000000000000000b}{\frac{25000000000000000}{6890933895424979}\times 3489949670250097}
Dividing by \frac{25000000000000000}{6890933895424979} undoes the multiplication by \frac{25000000000000000}{6890933895424979}.
a=\frac{27563735581699916b}{3489949670250097}
Divide \frac{100000000000000000b}{3489949670250097} by \frac{25000000000000000}{6890933895424979} by multiplying \frac{100000000000000000b}{3489949670250097} by the reciprocal of \frac{25000000000000000}{6890933895424979}.
\frac{a}{0.27563735581699916} = \frac{b}{0.03489949670250097}
Evaluate trigonometric functions in the problem
\frac{b}{0.03489949670250097}=\frac{a}{0.27563735581699916}
Swap sides so that all variable terms are on the left hand side.
\frac{100000000000000000}{3489949670250097}b=\frac{25000000000000000a}{6890933895424979}
The equation is in standard form.
\frac{\frac{100000000000000000}{3489949670250097}b}{\frac{100000000000000000}{3489949670250097}}=\frac{25000000000000000a}{\frac{100000000000000000}{3489949670250097}\times 6890933895424979}
Divide both sides of the equation by \frac{100000000000000000}{3489949670250097}, which is the same as multiplying both sides by the reciprocal of the fraction.
b=\frac{25000000000000000a}{\frac{100000000000000000}{3489949670250097}\times 6890933895424979}
Dividing by \frac{100000000000000000}{3489949670250097} undoes the multiplication by \frac{100000000000000000}{3489949670250097}.
b=\frac{3489949670250097a}{27563735581699916}
Divide \frac{25000000000000000a}{6890933895424979} by \frac{100000000000000000}{3489949670250097} by multiplying \frac{25000000000000000a}{6890933895424979} by the reciprocal of \frac{100000000000000000}{3489949670250097}.