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Finding the Fourth Proportional to 3,100,734,099,562.90, 4,651,101,149,344.30 and 3,100,734,099,562.90

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Solution

The fourth proportional to 3,100,734,099,562.90, 4,651,101,149,344.30 and 3,100,734,099,562.90 is: 4,651,101,149,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,734,099,562.90 : 4,651,101,149,344.30 = 3,100,734,099,562.90 : x
  2. Step 2: Convert to fraction form
    3,100,734,099,562.90/4,651,101,149,344.30 = 3,100,734,099,562.90/x
  3. Step 3: Cross multiply
    3,100,734,099,562.90x = 4,651,101,149,344.30 × 3,100,734,099,562.90
  4. Step 4: Simplify right side
    3,100,734,099,562.90x = 14,421,827,934,288,066,285,404,160
  5. Step 5: Solve for x
    x = 14,421,827,934,288,066,285,404,160/3,100,734,099,562.90
  6. Step 6: Final answer
    x = 4,651,101,149,344.30

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