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Finding the Fourth Proportional to 11,591,976,301.70, 17,387,964,452.55 and 11,591,976,301.70

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Solution

The fourth proportional to 11,591,976,301.70, 17,387,964,452.55 and 11,591,976,301.70 is: 17,387,964,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591,976,301.70 : 17,387,964,452.55 = 11,591,976,301.70 : x
  2. Step 2: Convert to fraction form
    11,591,976,301.70/17,387,964,452.55 = 11,591,976,301.70/x
  3. Step 3: Cross multiply
    11,591,976,301.70x = 17,387,964,452.55 × 11,591,976,301.70
  4. Step 4: Simplify right side
    11,591,976,301.70x = 201,560,871,868,761,604,096
  5. Step 5: Solve for x
    x = 201,560,871,868,761,604,096/11,591,976,301.70
  6. Step 6: Final answer
    x = 17,387,964,452.55

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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.