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Finding the Fourth Proportional to 49,660,136,013.30, 74,490,204,019.95 and 49,660,136,013.30

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Solution

The fourth proportional to 49,660,136,013.30, 74,490,204,019.95 and 49,660,136,013.30 is: 74,490,204,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,660,136,013.30 : 74,490,204,019.95 = 49,660,136,013.30 : x
  2. Step 2: Convert to fraction form
    49,660,136,013.30/74,490,204,019.95 = 49,660,136,013.30/x
  3. Step 3: Cross multiply
    49,660,136,013.30x = 74,490,204,019.95 × 49,660,136,013.30
  4. Step 4: Simplify right side
    49,660,136,013.30x = 3,699,193,663,289,183,698,944
  5. Step 5: Solve for x
    x = 3,699,193,663,289,183,698,944/49,660,136,013.30
  6. Step 6: Final answer
    x = 74,490,204,019.95

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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.