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Finding the Fourth Proportional to 181,597,691,446.80, 272,396,537,170.20 and 181,597,691,446.80

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Solution

The fourth proportional to 181,597,691,446.80, 272,396,537,170.20 and 181,597,691,446.80 is: 272,396,537,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,597,691,446.80 : 272,396,537,170.20 = 181,597,691,446.80 : x
  2. Step 2: Convert to fraction form
    181,597,691,446.80/272,396,537,170.20 = 181,597,691,446.80/x
  3. Step 3: Cross multiply
    181,597,691,446.80x = 272,396,537,170.20 × 181,597,691,446.80
  4. Step 4: Simplify right side
    181,597,691,446.80x = 49,466,582,308,210,763,366,400
  5. Step 5: Solve for x
    x = 49,466,582,308,210,763,366,400/181,597,691,446.80
  6. Step 6: Final answer
    x = 272,396,537,170.20

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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.