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Finding the Fourth Proportional to 475,974,016.30, 712,617,331.65 and 475,974,016.30

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Solution

The fourth proportional to 475,974,016.30, 712,617,331.65 and 475,974,016.30 is: 712,617,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,974,016.30 : 712,617,331.65 = 475,974,016.30 : x
  2. Step 2: Convert to fraction form
    475,974,016.30/712,617,331.65 = 475,974,016.30/x
  3. Step 3: Cross multiply
    475,974,016.30x = 712,617,331.65 × 475,974,016.30
  4. Step 4: Simplify right side
    475,974,016.30x = 339,187,333,430,439,616
  5. Step 5: Solve for x
    x = 339,187,333,430,439,616/475,974,016.30
  6. Step 6: Final answer
    x = 712,617,331.65

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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.