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Finding the Fourth Proportional to 9,711,997.60, 14,540,002.80 and 9,711,997.60

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Solution

The fourth proportional to 9,711,997.60, 14,540,002.80 and 9,711,997.60 is: 14,540,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711,997.60 : 14,540,002.80 = 9,711,997.60 : x
  2. Step 2: Convert to fraction form
    9,711,997.60/14,540,002.80 = 9,711,997.60/x
  3. Step 3: Cross multiply
    9,711,997.60x = 14,540,002.80 × 9,711,997.60
  4. Step 4: Simplify right side
    9,711,997.60x = 141,212,472,297,593.28
  5. Step 5: Solve for x
    x = 141,212,472,297,593.28/9,711,997.60
  6. Step 6: Final answer
    x = 14,540,002.80

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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.