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Finding the Fourth Proportional to 657,924,829.20, 985,452,353.10 and 657,924,829.20

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Solution

The fourth proportional to 657,924,829.20, 985,452,353.10 and 657,924,829.20 is: 985,452,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,924,829.20 : 985,452,353.10 = 657,924,829.20 : x
  2. Step 2: Convert to fraction form
    657,924,829.20/985,452,353.10 = 657,924,829.20/x
  3. Step 3: Cross multiply
    657,924,829.20x = 985,452,353.10 × 657,924,829.20
  4. Step 4: Simplify right side
    657,924,829.20x = 648,353,571,098,055,680
  5. Step 5: Solve for x
    x = 648,353,571,098,055,680/657,924,829.20
  6. Step 6: Final answer
    x = 985,452,353.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.