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Finding the Fourth Proportional to 280,251,275.10, 420,376,912.65 and 280,251,275.10

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Solution

The fourth proportional to 280,251,275.10, 420,376,912.65 and 280,251,275.10 is: 420,376,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,251,275.10 : 420,376,912.65 = 280,251,275.10 : x
  2. Step 2: Convert to fraction form
    280,251,275.10/420,376,912.65 = 280,251,275.10/x
  3. Step 3: Cross multiply
    280,251,275.10x = 420,376,912.65 × 280,251,275.10
  4. Step 4: Simplify right side
    280,251,275.10x = 117,811,165,792,763,824
  5. Step 5: Solve for x
    x = 117,811,165,792,763,824/280,251,275.10
  6. Step 6: Final answer
    x = 420,376,912.65

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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.