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Finding the Fourth Proportional to 534,993,607.90, 802,490,411.85 and 471,858,417.10

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Solution

The fourth proportional to 534,993,607.90, 802,490,411.85 and 471,858,417.10 is: 707,787,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,993,607.90 : 802,490,411.85 = 471,858,417.10 : x
  2. Step 2: Convert to fraction form
    534,993,607.90/802,490,411.85 = 471,858,417.10/x
  3. Step 3: Cross multiply
    534,993,607.90x = 802,490,411.85 × 471,858,417.10
  4. Step 4: Simplify right side
    534,993,607.90x = 378,661,855,473,468,096
  5. Step 5: Solve for x
    x = 378,661,855,473,468,096/534,993,607.90
  6. Step 6: Final answer
    x = 707,787,625.65

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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.