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Finding the Fourth Proportional to 9,099,682,773.90, 13,649,524,160.85 and 9,099,682,773.90

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Solution

The fourth proportional to 9,099,682,773.90, 13,649,524,160.85 and 9,099,682,773.90 is: 13,649,524,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,682,773.90 : 13,649,524,160.85 = 9,099,682,773.90 : x
  2. Step 2: Convert to fraction form
    9,099,682,773.90/13,649,524,160.85 = 9,099,682,773.90/x
  3. Step 3: Cross multiply
    9,099,682,773.90x = 13,649,524,160.85 × 9,099,682,773.90
  4. Step 4: Simplify right side
    9,099,682,773.90x = 124,206,339,878,418,595,840
  5. Step 5: Solve for x
    x = 124,206,339,878,418,595,840/9,099,682,773.90
  6. Step 6: Final answer
    x = 13,649,524,160.85

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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.