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\frac{1}{0.5446390350150271} = \frac{x}{0.9135454576426009}
Evaluate trigonometric functions in the problem
\frac{10000000000000000}{5446390350150271}=\frac{x}{0.9135454576426009}
Expand \frac{1}{0.5446390350150271} by multiplying both numerator and the denominator by 10000000000000000.
\frac{x}{0.9135454576426009}=\frac{10000000000000000}{5446390350150271}
Swap sides so that all variable terms are on the left hand side.
x=\frac{10000000000000000}{5446390350150271}\times 0.9135454576426009
Multiply both sides by 0.9135454576426009.
x=\frac{10000000000000000}{5446390350150271}\times \frac{9135454576426009}{10000000000000000}
Convert decimal number 0.9135454576426009 to fraction \frac{9135454576426009}{10000000000}. Reduce the fraction \frac{9135454576426009}{10000000000} to lowest terms by extracting and canceling out 1.
x=\frac{10000000000000000\times 9135454576426009}{5446390350150271\times 10000000000000000}
Multiply \frac{10000000000000000}{5446390350150271} times \frac{9135454576426009}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.
x=\frac{9135454576426009}{5446390350150271}
Cancel out 10000000000000000 in both numerator and denominator.