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Finding the Fourth Proportional to 3,105,746,671,512.20, 4,658,620,007,268.30 and 3,105,746,671,512.20

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Solution

The fourth proportional to 3,105,746,671,512.20, 4,658,620,007,268.30 and 3,105,746,671,512.20 is: 4,658,620,007,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,746,671,512.20 : 4,658,620,007,268.30 = 3,105,746,671,512.20 : x
  2. Step 2: Convert to fraction form
    3,105,746,671,512.20/4,658,620,007,268.30 = 3,105,746,671,512.20/x
  3. Step 3: Cross multiply
    3,105,746,671,512.20x = 4,658,620,007,268.30 × 3,105,746,671,512.20
  4. Step 4: Simplify right side
    3,105,746,671,512.20x = 14,468,493,581,413,665,000,652,800
  5. Step 5: Solve for x
    x = 14,468,493,581,413,665,000,652,800/3,105,746,671,512.20
  6. Step 6: Final answer
    x = 4,658,620,007,268.30

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