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Finding the Fourth Proportional to 49,660,136,009.30, 74,490,204,013.97 and 49,660,136,009.30

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Solution

The fourth proportional to 49,660,136,009.30, 74,490,204,013.97 and 49,660,136,009.30 is: 74,490,204,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,660,136,009.30 : 74,490,204,013.97 = 49,660,136,009.30 : x
  2. Step 2: Convert to fraction form
    49,660,136,009.30/74,490,204,013.97 = 49,660,136,009.30/x
  3. Step 3: Cross multiply
    49,660,136,009.30x = 74,490,204,013.97 × 49,660,136,009.30
  4. Step 4: Simplify right side
    49,660,136,009.30x = 3,699,193,662,694,255,230,976
  5. Step 5: Solve for x
    x = 3,699,193,662,694,255,230,976/49,660,136,009.30
  6. Step 6: Final answer
    x = 74,490,204,013.97

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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.