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Finding the Fourth Proportional to 534,459,610.40, 746,631,023.20 and 534,459,610.40

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Solution

The fourth proportional to 534,459,610.40, 746,631,023.20 and 534,459,610.40 is: 746,631,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,459,610.40 : 746,631,023.20 = 534,459,610.40 : x
  2. Step 2: Convert to fraction form
    534,459,610.40/746,631,023.20 = 534,459,610.40/x
  3. Step 3: Cross multiply
    534,459,610.40x = 746,631,023.20 × 534,459,610.40
  4. Step 4: Simplify right side
    534,459,610.40x = 399,044,125,772,025,344
  5. Step 5: Solve for x
    x = 399,044,125,772,025,344/534,459,610.40
  6. Step 6: Final answer
    x = 746,631,023.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.