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Finding the Fourth Proportional to 868,656,770.22, 1,198,747,115.34 and 472,179,759.78

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Solution

The fourth proportional to 868,656,770.22, 1,198,747,115.34 and 472,179,759.78 is: 651,608,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,656,770.22 : 1,198,747,115.34 = 472,179,759.78 : x
  2. Step 2: Convert to fraction form
    868,656,770.22/1,198,747,115.34 = 472,179,759.78/x
  3. Step 3: Cross multiply
    868,656,770.22x = 1,198,747,115.34 × 472,179,759.78
  4. Step 4: Simplify right side
    868,656,770.22x = 566,024,124,955,848,256
  5. Step 5: Solve for x
    x = 566,024,124,955,848,256/868,656,770.22
  6. Step 6: Final answer
    x = 651,608,488.37

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Why These Related Problems?

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