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Finding the Fourth Proportional to 2,640,198,889,764.90, 3,960,298,334,647.20 and 2,640,198,889,764.90

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Solution

The fourth proportional to 2,640,198,889,764.90, 3,960,298,334,647.20 and 2,640,198,889,764.90 is: 3,960,298,334,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,764.90 : 3,960,298,334,647.20 = 2,640,198,889,764.90 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,764.90/3,960,298,334,647.20 = 2,640,198,889,764.90/x
  3. Step 3: Cross multiply
    2,640,198,889,764.90x = 3,960,298,334,647.20 × 2,640,198,889,764.90
  4. Step 4: Simplify right side
    2,640,198,889,764.90x = 10,455,975,266,273,320,100,691,968
  5. Step 5: Solve for x
    x = 10,455,975,266,273,320,100,691,968/2,640,198,889,764.90
  6. Step 6: Final answer
    x = 3,960,298,334,647.20

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