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Finding the Fourth Proportional to 6,887,677,969.10, 9,661,115,757.70 and 6,887,677,969.10

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Solution

The fourth proportional to 6,887,677,969.10, 9,661,115,757.70 and 6,887,677,969.10 is: 9,661,115,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887,677,969.10 : 9,661,115,757.70 = 6,887,677,969.10 : x
  2. Step 2: Convert to fraction form
    6,887,677,969.10/9,661,115,757.70 = 6,887,677,969.10/x
  3. Step 3: Cross multiply
    6,887,677,969.10x = 9,661,115,757.70 × 6,887,677,969.10
  4. Step 4: Simplify right side
    6,887,677,969.10x = 66,542,654,161,235,148,800
  5. Step 5: Solve for x
    x = 66,542,654,161,235,148,800/6,887,677,969.10
  6. Step 6: Final answer
    x = 9,661,115,757.70

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1.5x scale

Why These Related Problems?

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