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Finding the Fourth Proportional to 11,591,976,265.20, 17,387,964,397.80 and 11,591,976,265.20

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Solution

The fourth proportional to 11,591,976,265.20, 17,387,964,397.80 and 11,591,976,265.20 is: 17,387,964,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591,976,265.20 : 17,387,964,397.80 = 11,591,976,265.20 : x
  2. Step 2: Convert to fraction form
    11,591,976,265.20/17,387,964,397.80 = 11,591,976,265.20/x
  3. Step 3: Cross multiply
    11,591,976,265.20x = 17,387,964,397.80 × 11,591,976,265.20
  4. Step 4: Simplify right side
    11,591,976,265.20x = 201,560,870,599,440,203,776
  5. Step 5: Solve for x
    x = 201,560,870,599,440,203,776/11,591,976,265.20
  6. Step 6: Final answer
    x = 17,387,964,397.80

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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.