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Finding the Fourth Proportional to 6,541,325,007.90, 9,811,987,511.85 and 6,541,325,007.90

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Solution

The fourth proportional to 6,541,325,007.90, 9,811,987,511.85 and 6,541,325,007.90 is: 9,811,987,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541,325,007.90 : 9,811,987,511.85 = 6,541,325,007.90 : x
  2. Step 2: Convert to fraction form
    6,541,325,007.90/9,811,987,511.85 = 6,541,325,007.90/x
  3. Step 3: Cross multiply
    6,541,325,007.90x = 9,811,987,511.85 × 6,541,325,007.90
  4. Step 4: Simplify right side
    6,541,325,007.90x = 64,183,399,288,466,898,944
  5. Step 5: Solve for x
    x = 64,183,399,288,466,898,944/6,541,325,007.90
  6. Step 6: Final answer
    x = 9,811,987,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.