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Finding the Fourth Proportional to 5,725,811,940,414.70, 8,588,717,910,622.10 and 5,725,811,940,414.70

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Solution

The fourth proportional to 5,725,811,940,414.70, 8,588,717,910,622.10 and 5,725,811,940,414.70 is: 8,588,717,910,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,811,940,414.70 : 8,588,717,910,622.10 = 5,725,811,940,414.70 : x
  2. Step 2: Convert to fraction form
    5,725,811,940,414.70/8,588,717,910,622.10 = 5,725,811,940,414.70/x
  3. Step 3: Cross multiply
    5,725,811,940,414.70x = 8,588,717,910,622.10 × 5,725,811,940,414.70
  4. Step 4: Simplify right side
    5,725,811,940,414.70x = 49,177,383,565,493,612,700,499,968
  5. Step 5: Solve for x
    x = 49,177,383,565,493,612,700,499,968/5,725,811,940,414.70
  6. Step 6: Final answer
    x = 8,588,717,910,622.10

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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.