Finding the Fourth Proportional to 324,222,745,785.28, 486,236,204,202.48 and 97,522,017,261.18
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Solution
The fourth proportional to 324,222,745,785.28, 486,236,204,202.48 and 97,522,017,261.18 is: 146,253,574,481.32
Step by Step Solution
- Step 1: Write the proportion equation
324,222,745,785.28 : 486,236,204,202.48 = 97,522,017,261.18 : x - Step 2: Convert to fraction form
324,222,745,785.28/486,236,204,202.48 = 97,522,017,261.18/x - Step 3: Cross multiply
324,222,745,785.28x = 486,236,204,202.48 × 97,522,017,261.18 - Step 4: Simplify right side
324,222,745,785.28x = 47,418,735,499,244,891,799,552 - Step 5: Solve for x
x = 47,418,735,499,244,891,799,552/324,222,745,785.28 - Step 6: Final answer
x = 146,253,574,481.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.