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Finding the Fourth Proportional to 5,725,811,940,415.40, 8,588,717,910,623.10 and 5,725,811,940,415.40

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Solution

The fourth proportional to 5,725,811,940,415.40, 8,588,717,910,623.10 and 5,725,811,940,415.40 is: 8,588,717,910,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,811,940,415.40 : 8,588,717,910,623.10 = 5,725,811,940,415.40 : x
  2. Step 2: Convert to fraction form
    5,725,811,940,415.40/8,588,717,910,623.10 = 5,725,811,940,415.40/x
  3. Step 3: Cross multiply
    5,725,811,940,415.40x = 8,588,717,910,623.10 × 5,725,811,940,415.40
  4. Step 4: Simplify right side
    5,725,811,940,415.40x = 49,177,383,565,505,355,141,087,232
  5. Step 5: Solve for x
    x = 49,177,383,565,505,355,141,087,232/5,725,811,940,415.40
  6. Step 6: Final answer
    x = 8,588,717,910,623.10

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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.