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x\times 128000=100\times 4600
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 100,x.
x\times 128000=460000
Multiply 100 and 4600 to get 460000.
x=\frac{460000}{128000}
Divide both sides by 128000.
x=\frac{115}{32}
Reduce the fraction \frac{460000}{128000} to lowest terms by extracting and canceling out 4000.