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Finding the Fourth Proportional to 6,707,766,266.10, 10,061,649,399.15 and 6,707,766,266.10

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Solution

The fourth proportional to 6,707,766,266.10, 10,061,649,399.15 and 6,707,766,266.10 is: 10,061,649,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,766,266.10 : 10,061,649,399.15 = 6,707,766,266.10 : x
  2. Step 2: Convert to fraction form
    6,707,766,266.10/10,061,649,399.15 = 6,707,766,266.10/x
  3. Step 3: Cross multiply
    6,707,766,266.10x = 10,061,649,399.15 × 6,707,766,266.10
  4. Step 4: Simplify right side
    6,707,766,266.10x = 67,491,192,420,943,708,160
  5. Step 5: Solve for x
    x = 67,491,192,420,943,708,160/6,707,766,266.10
  6. Step 6: Final answer
    x = 10,061,649,399.15

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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.