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Finding the Fourth Proportional to 260,761,442,691.60, 391,142,164,037.40 and 260,761,442,691.60

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Solution

The fourth proportional to 260,761,442,691.60, 391,142,164,037.40 and 260,761,442,691.60 is: 391,142,164,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,442,691.60 : 391,142,164,037.40 = 260,761,442,691.60 : x
  2. Step 2: Convert to fraction form
    260,761,442,691.60/391,142,164,037.40 = 260,761,442,691.60/x
  3. Step 3: Cross multiply
    260,761,442,691.60x = 391,142,164,037.40 × 260,761,442,691.60
  4. Step 4: Simplify right side
    260,761,442,691.60x = 101,994,794,991,906,891,759,616
  5. Step 5: Solve for x
    x = 101,994,794,991,906,891,759,616/260,761,442,691.60
  6. Step 6: Final answer
    x = 391,142,164,037.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.