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Finding the Fourth Proportional to 6,737,660,682.30, 10,106,491,023.45 and 6,737,660,682.30

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Solution

The fourth proportional to 6,737,660,682.30, 10,106,491,023.45 and 6,737,660,682.30 is: 10,106,491,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,660,682.30 : 10,106,491,023.45 = 6,737,660,682.30 : x
  2. Step 2: Convert to fraction form
    6,737,660,682.30/10,106,491,023.45 = 6,737,660,682.30/x
  3. Step 3: Cross multiply
    6,737,660,682.30x = 10,106,491,023.45 × 6,737,660,682.30
  4. Step 4: Simplify right side
    6,737,660,682.30x = 68,094,107,204,716,961,792
  5. Step 5: Solve for x
    x = 68,094,107,204,716,961,792/6,737,660,682.30
  6. Step 6: Final answer
    x = 10,106,491,023.45

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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.