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Finding the Fourth Proportional to 475,974,007.80, 712,617,318.90 and 475,974,007.80

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Solution

The fourth proportional to 475,974,007.80, 712,617,318.90 and 475,974,007.80 is: 712,617,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,974,007.80 : 712,617,318.90 = 475,974,007.80 : x
  2. Step 2: Convert to fraction form
    475,974,007.80/712,617,318.90 = 475,974,007.80/x
  3. Step 3: Cross multiply
    475,974,007.80x = 712,617,318.90 × 475,974,007.80
  4. Step 4: Simplify right side
    475,974,007.80x = 339,187,321,304,523,712
  5. Step 5: Solve for x
    x = 339,187,321,304,523,712/475,974,007.80
  6. Step 6: Final answer
    x = 712,617,318.90

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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.