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Finding the Fourth Proportional to 721,783,340,496.23, 1,082,675,010,744.30 and 721,783,340,496.23

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Solution

The fourth proportional to 721,783,340,496.23, 1,082,675,010,744.30 and 721,783,340,496.23 is: 1,082,675,010,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,783,340,496.23 : 1,082,675,010,744.30 = 721,783,340,496.23 : x
  2. Step 2: Convert to fraction form
    721,783,340,496.23/1,082,675,010,744.30 = 721,783,340,496.23/x
  3. Step 3: Cross multiply
    721,783,340,496.23x = 1,082,675,010,744.30 × 721,783,340,496.23
  4. Step 4: Simplify right side
    721,783,340,496.23x = 781,456,785,926,812,520,677,376
  5. Step 5: Solve for x
    x = 781,456,785,926,812,520,677,376/721,783,340,496.23
  6. Step 6: Final answer
    x = 1,082,675,010,744.30

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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.