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Finding the Fourth Proportional to 5,725,811,940,407.40, 8,588,717,910,611.10 and 5,725,811,940,407.40

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Solution

The fourth proportional to 5,725,811,940,407.40, 8,588,717,910,611.10 and 5,725,811,940,407.40 is: 8,588,717,910,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,811,940,407.40 : 8,588,717,910,611.10 = 5,725,811,940,407.40 : x
  2. Step 2: Convert to fraction form
    5,725,811,940,407.40/8,588,717,910,611.10 = 5,725,811,940,407.40/x
  3. Step 3: Cross multiply
    5,725,811,940,407.40x = 8,588,717,910,611.10 × 5,725,811,940,407.40
  4. Step 4: Simplify right side
    5,725,811,940,407.40x = 49,177,383,565,367,933,367,484,416
  5. Step 5: Solve for x
    x = 49,177,383,565,367,933,367,484,416/5,725,811,940,407.40
  6. Step 6: Final answer
    x = 8,588,717,910,611.10

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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.