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Finding the Fourth Proportional to 44,242,523,998.65, 66,363,785,997.98 and 44,242,523,998.65

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Solution

The fourth proportional to 44,242,523,998.65, 66,363,785,997.98 and 44,242,523,998.65 is: 66,363,785,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,242,523,998.65 : 66,363,785,997.98 = 44,242,523,998.65 : x
  2. Step 2: Convert to fraction form
    44,242,523,998.65/66,363,785,997.98 = 44,242,523,998.65/x
  3. Step 3: Cross multiply
    44,242,523,998.65x = 66,363,785,997.98 × 44,242,523,998.65
  4. Step 4: Simplify right side
    44,242,523,998.65x = 2,936,101,394,656,682,049,536
  5. Step 5: Solve for x
    x = 2,936,101,394,656,682,049,536/44,242,523,998.65
  6. Step 6: Final answer
    x = 66,363,785,997.98

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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.