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Finding the Fourth Proportional to 2,582,722,646,133.90, 3,874,083,969,200.70 and 2,582,722,646,133.90

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Solution

The fourth proportional to 2,582,722,646,133.90, 3,874,083,969,200.70 and 2,582,722,646,133.90 is: 3,874,083,969,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,722,646,133.90 : 3,874,083,969,200.70 = 2,582,722,646,133.90 : x
  2. Step 2: Convert to fraction form
    2,582,722,646,133.90/3,874,083,969,200.70 = 2,582,722,646,133.90/x
  3. Step 3: Cross multiply
    2,582,722,646,133.90x = 3,874,083,969,200.70 × 2,582,722,646,133.90
  4. Step 4: Simplify right side
    2,582,722,646,133.90x = 10,005,684,400,278,954,494,132,224
  5. Step 5: Solve for x
    x = 10,005,684,400,278,954,494,132,224/2,582,722,646,133.90
  6. Step 6: Final answer
    x = 3,874,083,969,200.70

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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.