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\frac{145}{x}=\frac{413}{100}
Divide both sides by 100.
100\times 145=413x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
14500=413x
Multiply 100 and 145 to get 14500.
413x=14500
Swap sides so that all variable terms are on the left hand side.
x=\frac{14500}{413}
Divide both sides by 413.