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Finding the Fourth Proportional to 729,777,174.60, 1,007,108,763 and 416,505,105.12

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Solution

The fourth proportional to 729,777,174.60, 1,007,108,763 and 416,505,105.12 is: 574,786,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,777,174.60 : 1,007,108,763 = 416,505,105.12 : x
  2. Step 2: Convert to fraction form
    729,777,174.60/1,007,108,763 = 416,505,105.12/x
  3. Step 3: Cross multiply
    729,777,174.60x = 1,007,108,763 × 416,505,105.12
  4. Step 4: Simplify right side
    729,777,174.60x = 419,465,941,200,588,160
  5. Step 5: Solve for x
    x = 419,465,941,200,588,160/729,777,174.60
  6. Step 6: Final answer
    x = 574,786,326.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.