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Finding the Fourth Proportional to 6,887,677,625.10, 9,661,115,276.10 and 6,887,677,625.10

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Solution

The fourth proportional to 6,887,677,625.10, 9,661,115,276.10 and 6,887,677,625.10 is: 9,661,115,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887,677,625.10 : 9,661,115,276.10 = 6,887,677,625.10 : x
  2. Step 2: Convert to fraction form
    6,887,677,625.10/9,661,115,276.10 = 6,887,677,625.10/x
  3. Step 3: Cross multiply
    6,887,677,625.10x = 9,661,115,276.10 × 6,887,677,625.10
  4. Step 4: Simplify right side
    6,887,677,625.10x = 66,542,647,520,705,781,760
  5. Step 5: Solve for x
    x = 66,542,647,520,705,781,760/6,887,677,625.10
  6. Step 6: Final answer
    x = 9,661,115,276.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.