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Finding the Fourth Proportional to 68,164,416,002.55, 102,246,624,003.82 and 68,164,416,002.55

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Solution

The fourth proportional to 68,164,416,002.55, 102,246,624,003.82 and 68,164,416,002.55 is: 102,246,624,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164,416,002.55 : 102,246,624,003.82 = 68,164,416,002.55 : x
  2. Step 2: Convert to fraction form
    68,164,416,002.55/102,246,624,003.82 = 68,164,416,002.55/x
  3. Step 3: Cross multiply
    68,164,416,002.55x = 102,246,624,003.82 × 68,164,416,002.55
  4. Step 4: Simplify right side
    68,164,416,002.55x = 6,969,581,413,452,701,761,536
  5. Step 5: Solve for x
    x = 6,969,581,413,452,701,761,536/68,164,416,002.55
  6. Step 6: Final answer
    x = 102,246,624,003.82

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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.