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Finding the Fourth Proportional to 2,582,722,646,512.60, 3,874,083,969,768.80 and 2,582,722,646,512.60

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Solution

The fourth proportional to 2,582,722,646,512.60, 3,874,083,969,768.80 and 2,582,722,646,512.60 is: 3,874,083,969,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,722,646,512.60 : 3,874,083,969,768.80 = 2,582,722,646,512.60 : x
  2. Step 2: Convert to fraction form
    2,582,722,646,512.60/3,874,083,969,768.80 = 2,582,722,646,512.60/x
  3. Step 3: Cross multiply
    2,582,722,646,512.60x = 3,874,083,969,768.80 × 2,582,722,646,512.60
  4. Step 4: Simplify right side
    2,582,722,646,512.60x = 10,005,684,403,213,314,805,465,088
  5. Step 5: Solve for x
    x = 10,005,684,403,213,314,805,465,088/2,582,722,646,512.60
  6. Step 6: Final answer
    x = 3,874,083,969,768.80

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