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\frac{1.45}{x}=\frac{4.13}{100}
Divide both sides by 100.
\frac{1.45}{x}=\frac{413}{10000}
Expand \frac{4.13}{100} by multiplying both numerator and the denominator by 100.
10000\times 1.45=413x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10000x, the least common multiple of x,10000.
14500=413x
Multiply 10000 and 1.45 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.