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Finding the Fourth Proportional to 337,006,523.70, 472,446,143.10 and 337,006,523.70

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Solution

The fourth proportional to 337,006,523.70, 472,446,143.10 and 337,006,523.70 is: 472,446,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,006,523.70 : 472,446,143.10 = 337,006,523.70 : x
  2. Step 2: Convert to fraction form
    337,006,523.70/472,446,143.10 = 337,006,523.70/x
  3. Step 3: Cross multiply
    337,006,523.70x = 472,446,143.10 × 337,006,523.70
  4. Step 4: Simplify right side
    337,006,523.70x = 159,217,432,321,603,744
  5. Step 5: Solve for x
    x = 159,217,432,321,603,744/337,006,523.70
  6. Step 6: Final answer
    x = 472,446,143.10

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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.