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Finding the Fourth Proportional to 2,582,722,646,596.20, 3,874,083,969,894.30 and 2,582,722,646,596.20

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Solution

The fourth proportional to 2,582,722,646,596.20, 3,874,083,969,894.30 and 2,582,722,646,596.20 is: 3,874,083,969,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,722,646,596.20 : 3,874,083,969,894.30 = 2,582,722,646,596.20 : x
  2. Step 2: Convert to fraction form
    2,582,722,646,596.20/3,874,083,969,894.30 = 2,582,722,646,596.20/x
  3. Step 3: Cross multiply
    2,582,722,646,596.20x = 3,874,083,969,894.30 × 2,582,722,646,596.20
  4. Step 4: Simplify right side
    2,582,722,646,596.20x = 10,005,684,403,861,320,143,732,736
  5. Step 5: Solve for x
    x = 10,005,684,403,861,320,143,732,736/2,582,722,646,596.20
  6. Step 6: Final answer
    x = 3,874,083,969,894.30

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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.