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Finding the Fourth Proportional to 11,591,976,277.20, 17,387,964,415.80 and 11,591,976,277.20

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Solution

The fourth proportional to 11,591,976,277.20, 17,387,964,415.80 and 11,591,976,277.20 is: 17,387,964,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591,976,277.20 : 17,387,964,415.80 = 11,591,976,277.20 : x
  2. Step 2: Convert to fraction form
    11,591,976,277.20/17,387,964,415.80 = 11,591,976,277.20/x
  3. Step 3: Cross multiply
    11,591,976,277.20x = 17,387,964,415.80 × 11,591,976,277.20
  4. Step 4: Simplify right side
    11,591,976,277.20x = 201,560,871,016,751,366,144
  5. Step 5: Solve for x
    x = 201,560,871,016,751,366,144/11,591,976,277.20
  6. Step 6: Final answer
    x = 17,387,964,415.80

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