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Finding the Fourth Proportional to 783,454,404.62, 1,081,167,042.62 and 431,022,834.68

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Solution

The fourth proportional to 783,454,404.62, 1,081,167,042.62 and 431,022,834.68 is: 594,811,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,454,404.62 : 1,081,167,042.62 = 431,022,834.68 : x
  2. Step 2: Convert to fraction form
    783,454,404.62/1,081,167,042.62 = 431,022,834.68/x
  3. Step 3: Cross multiply
    783,454,404.62x = 1,081,167,042.62 × 431,022,834.68
  4. Step 4: Simplify right side
    783,454,404.62x = 466,007,683,465,103,872
  5. Step 5: Solve for x
    x = 466,007,683,465,103,872/783,454,404.62
  6. Step 6: Final answer
    x = 594,811,492.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.