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Finding the Fourth Proportional to 11,591,976,251.70, 17,387,964,377.55 and 11,591,976,251.70

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Solution

The fourth proportional to 11,591,976,251.70, 17,387,964,377.55 and 11,591,976,251.70 is: 17,387,964,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591,976,251.70 : 17,387,964,377.55 = 11,591,976,251.70 : x
  2. Step 2: Convert to fraction form
    11,591,976,251.70/17,387,964,377.55 = 11,591,976,251.70/x
  3. Step 3: Cross multiply
    11,591,976,251.70x = 17,387,964,377.55 × 11,591,976,251.70
  4. Step 4: Simplify right side
    11,591,976,251.70x = 201,560,870,129,965,170,688
  5. Step 5: Solve for x
    x = 201,560,870,129,965,170,688/11,591,976,251.70
  6. Step 6: Final answer
    x = 17,387,964,377.55

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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.