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Finding the Fourth Proportional to 1,097,209,156,631.40, 1,645,813,734,947.10 and 1,097,209,156,631.40

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Solution

The fourth proportional to 1,097,209,156,631.40, 1,645,813,734,947.10 and 1,097,209,156,631.40 is: 1,645,813,734,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,209,156,631.40 : 1,645,813,734,947.10 = 1,097,209,156,631.40 : x
  2. Step 2: Convert to fraction form
    1,097,209,156,631.40/1,645,813,734,947.10 = 1,097,209,156,631.40/x
  3. Step 3: Cross multiply
    1,097,209,156,631.40x = 1,645,813,734,947.10 × 1,097,209,156,631.40
  4. Step 4: Simplify right side
    1,097,209,156,631.40x = 1,805,801,900,093,682,231,541,760
  5. Step 5: Solve for x
    x = 1,805,801,900,093,682,231,541,760/1,097,209,156,631.40
  6. Step 6: Final answer
    x = 1,645,813,734,947.10

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