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Finding the Fourth Proportional to 629,866,229.40, 944,799,344.10 and 498,352,296.60

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Solution

The fourth proportional to 629,866,229.40, 944,799,344.10 and 498,352,296.60 is: 747,528,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,866,229.40 : 944,799,344.10 = 498,352,296.60 : x
  2. Step 2: Convert to fraction form
    629,866,229.40/944,799,344.10 = 498,352,296.60/x
  3. Step 3: Cross multiply
    629,866,229.40x = 944,799,344.10 × 498,352,296.60
  4. Step 4: Simplify right side
    629,866,229.40x = 470,842,922,958,408,704
  5. Step 5: Solve for x
    x = 470,842,922,958,408,704/629,866,229.40
  6. Step 6: Final answer
    x = 747,528,444.90

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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.