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\alpha \times 3600=400\times 1000
Multiply both sides by 1000.
\alpha \times 3600=400000
Multiply 400 and 1000 to get 400000.
3600\alpha =400000
The equation is in standard form.
\frac{3600\alpha }{3600}=\frac{400000}{3600}
Divide both sides by 3600.
\alpha =\frac{400000}{3600}
Dividing by 3600 undoes the multiplication by 3600.
\alpha =\frac{1000}{9}
Reduce the fraction \frac{400000}{3600} to lowest terms by extracting and canceling out 400.