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Finding the Fourth Proportional to 392,472,419.40, 587,433,170.70 and 392,472,419.40

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Solution

The fourth proportional to 392,472,419.40, 587,433,170.70 and 392,472,419.40 is: 587,433,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472,419.40 : 587,433,170.70 = 392,472,419.40 : x
  2. Step 2: Convert to fraction form
    392,472,419.40/587,433,170.70 = 392,472,419.40/x
  3. Step 3: Cross multiply
    392,472,419.40x = 587,433,170.70 × 392,472,419.40
  4. Step 4: Simplify right side
    392,472,419.40x = 230,551,317,740,442,208
  5. Step 5: Solve for x
    x = 230,551,317,740,442,208/392,472,419.40
  6. Step 6: Final answer
    x = 587,433,170.70

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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.