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Finding the Fourth Proportional to 27,398,736,699.90, 41,098,105,049.85 and 27,398,736,699.90

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Solution

The fourth proportional to 27,398,736,699.90, 41,098,105,049.85 and 27,398,736,699.90 is: 41,098,105,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398,736,699.90 : 41,098,105,049.85 = 27,398,736,699.90 : x
  2. Step 2: Convert to fraction form
    27,398,736,699.90/41,098,105,049.85 = 27,398,736,699.90/x
  3. Step 3: Cross multiply
    27,398,736,699.90x = 41,098,105,049.85 × 27,398,736,699.90
  4. Step 4: Simplify right side
    27,398,736,699.90x = 1,126,036,159,125,670,723,584
  5. Step 5: Solve for x
    x = 1,126,036,159,125,670,723,584/27,398,736,699.90
  6. Step 6: Final answer
    x = 41,098,105,049.85

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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.