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Finding the Fourth Proportional to 499,486,542.20, 749,229,813.31 and 499,486,542.20

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Solution

The fourth proportional to 499,486,542.20, 749,229,813.31 and 499,486,542.20 is: 749,229,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,486,542.20 : 749,229,813.31 = 499,486,542.20 : x
  2. Step 2: Convert to fraction form
    499,486,542.20/749,229,813.31 = 499,486,542.20/x
  3. Step 3: Cross multiply
    499,486,542.20x = 749,229,813.31 × 499,486,542.20
  4. Step 4: Simplify right side
    499,486,542.20x = 374,230,208,763,363,392
  5. Step 5: Solve for x
    x = 374,230,208,763,363,392/499,486,542.20
  6. Step 6: Final answer
    x = 749,229,813.31

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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.