Find the value of x in 1220.122 = 12.2x

Solution: Solve 1220.122 = 12.2 × x

1. Isolate x: x = 1220.122 ÷ 12.2.

2. Clear the decimal by multiplying numerator and denominator by 10: x = 12201.22 ÷ 122.

3. Divide: 122 goes into 12201.22 exactly 100.01 times because 122 × 100 = 12200 and the remaining 1.22 gives 0.01.

4. Therefore x = 100.01.

Check: 12.2 × 100.01 = 1220.122, which matches the original equation.