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Finding the Fourth Proportional to 747,953,999.10, 1,121,930,998.65 and 732,648,498.30

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Solution

The fourth proportional to 747,953,999.10, 1,121,930,998.65 and 732,648,498.30 is: 1,098,972,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,953,999.10 : 1,121,930,998.65 = 732,648,498.30 : x
  2. Step 2: Convert to fraction form
    747,953,999.10/1,121,930,998.65 = 732,648,498.30/x
  3. Step 3: Cross multiply
    747,953,999.10x = 1,121,930,998.65 × 732,648,498.30
  4. Step 4: Simplify right side
    747,953,999.10x = 821,981,061,357,141,888
  5. Step 5: Solve for x
    x = 821,981,061,357,141,888/747,953,999.10
  6. Step 6: Final answer
    x = 1,098,972,747.45

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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.