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Finding the Fourth Proportional to 9,160,128,000.80, 13,740,192,001.20 and 9,160,128,000.80

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Solution

The fourth proportional to 9,160,128,000.80, 13,740,192,001.20 and 9,160,128,000.80 is: 13,740,192,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160,128,000.80 : 13,740,192,001.20 = 9,160,128,000.80 : x
  2. Step 2: Convert to fraction form
    9,160,128,000.80/13,740,192,001.20 = 9,160,128,000.80/x
  3. Step 3: Cross multiply
    9,160,128,000.80x = 13,740,192,001.20 × 9,160,128,000.80
  4. Step 4: Simplify right side
    9,160,128,000.80x = 125,861,917,486,560,296,960
  5. Step 5: Solve for x
    x = 125,861,917,486,560,296,960/9,160,128,000.80
  6. Step 6: Final answer
    x = 13,740,192,001.20

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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.