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Finding the Fourth Proportional to 1,462,945,541,214.70, 2,194,418,311,822.10 and 1,462,945,541,214.70

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Solution

The fourth proportional to 1,462,945,541,214.70, 2,194,418,311,822.10 and 1,462,945,541,214.70 is: 2,194,418,311,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,945,541,214.70 : 2,194,418,311,822.10 = 1,462,945,541,214.70 : x
  2. Step 2: Convert to fraction form
    1,462,945,541,214.70/2,194,418,311,822.10 = 1,462,945,541,214.70/x
  3. Step 3: Cross multiply
    1,462,945,541,214.70x = 2,194,418,311,822.10 × 1,462,945,541,214.70
  4. Step 4: Simplify right side
    1,462,945,541,214.70x = 3,210,314,484,840,030,202,232,832
  5. Step 5: Solve for x
    x = 3,210,314,484,840,030,202,232,832/1,462,945,541,214.70
  6. Step 6: Final answer
    x = 2,194,418,311,822.10

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