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\frac{0.898794046299167}{109} = \frac{0.4383711467890774}{a}
Evaluate trigonometric functions in the problem
a\times 0.898794046299167=109\times 0.4383711467890774
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 109a, the least common multiple of 109,a.
a\times 0.898794046299167=47.7824550000094366
Multiply 109 and 0.4383711467890774 to get 47.7824550000094366.
a=\frac{47.7824550000094366}{0.898794046299167}
Divide both sides by 0.898794046299167.
a=\frac{477824550000094366}{8987940462991670}
Expand \frac{47.7824550000094366}{0.898794046299167} by multiplying both numerator and the denominator by 10000000000000000.
a=\frac{238912275000047183}{4493970231495835}
Reduce the fraction \frac{477824550000094366}{8987940462991670} to lowest terms by extracting and canceling out 2.