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Finding the Fourth Proportional to 2,005,694,784,137.80, 3,008,542,176,206.80 and 2,005,694,784,137.80

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Solution

The fourth proportional to 2,005,694,784,137.80, 3,008,542,176,206.80 and 2,005,694,784,137.80 is: 3,008,542,176,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,694,784,137.80 : 3,008,542,176,206.80 = 2,005,694,784,137.80 : x
  2. Step 2: Convert to fraction form
    2,005,694,784,137.80/3,008,542,176,206.80 = 2,005,694,784,137.80/x
  3. Step 3: Cross multiply
    2,005,694,784,137.80x = 3,008,542,176,206.80 × 2,005,694,784,137.80
  4. Step 4: Simplify right side
    2,005,694,784,137.80x = 6,034,217,350,676,564,682,997,760
  5. Step 5: Solve for x
    x = 6,034,217,350,676,564,682,997,760/2,005,694,784,137.80
  6. Step 6: Final answer
    x = 3,008,542,176,206.80

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