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Finding the Fourth Proportional to 645,680,661,639.15, 968,520,992,458.75 and 645,680,661,639.15

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Solution

The fourth proportional to 645,680,661,639.15, 968,520,992,458.75 and 645,680,661,639.15 is: 968,520,992,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,680,661,639.15 : 968,520,992,458.75 = 645,680,661,639.15 : x
  2. Step 2: Convert to fraction form
    645,680,661,639.15/968,520,992,458.75 = 645,680,661,639.15/x
  3. Step 3: Cross multiply
    645,680,661,639.15x = 968,520,992,458.75 × 645,680,661,639.15
  4. Step 4: Simplify right side
    645,680,661,639.15x = 625,355,275,222,171,988,787,200
  5. Step 5: Solve for x
    x = 625,355,275,222,171,988,787,200/645,680,661,639.15
  6. Step 6: Final answer
    x = 968,520,992,458.75

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