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Finding the Fourth Proportional to 500,481,569.40, 750,722,354.10 and 466,469,345.40

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Solution

The fourth proportional to 500,481,569.40, 750,722,354.10 and 466,469,345.40 is: 699,704,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,481,569.40 : 750,722,354.10 = 466,469,345.40 : x
  2. Step 2: Convert to fraction form
    500,481,569.40/750,722,354.10 = 466,469,345.40/x
  3. Step 3: Cross multiply
    500,481,569.40x = 750,722,354.10 × 466,469,345.40
  4. Step 4: Simplify right side
    500,481,569.40x = 350,188,965,094,174,016
  5. Step 5: Solve for x
    x = 350,188,965,094,174,016/500,481,569.40
  6. Step 6: Final answer
    x = 699,704,018.10

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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.