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Finding the Fourth Proportional to 865,759,285.08, 1,194,715,793.61 and 469,273,761.90

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Solution

The fourth proportional to 865,759,285.08, 1,194,715,793.61 and 469,273,761.90 is: 647,580,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,759,285.08 : 1,194,715,793.61 = 469,273,761.90 : x
  2. Step 2: Convert to fraction form
    865,759,285.08/1,194,715,793.61 = 469,273,761.90/x
  3. Step 3: Cross multiply
    865,759,285.08x = 1,194,715,793.61 × 469,273,761.90
  4. Step 4: Simplify right side
    865,759,285.08x = 560,648,774,868,708,608
  5. Step 5: Solve for x
    x = 560,648,774,868,708,608/865,759,285.08
  6. Step 6: Final answer
    x = 647,580,435.50

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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.