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Finding the Fourth Proportional to 2,564,961,706,881.80, 3,847,442,560,322.70 and 2,564,961,706,881.80

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Solution

The fourth proportional to 2,564,961,706,881.80, 3,847,442,560,322.70 and 2,564,961,706,881.80 is: 3,847,442,560,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,961,706,881.80 : 3,847,442,560,322.70 = 2,564,961,706,881.80 : x
  2. Step 2: Convert to fraction form
    2,564,961,706,881.80/3,847,442,560,322.70 = 2,564,961,706,881.80/x
  3. Step 3: Cross multiply
    2,564,961,706,881.80x = 3,847,442,560,322.70 × 2,564,961,706,881.80
  4. Step 4: Simplify right side
    2,564,961,706,881.80x = 9,868,542,836,654,995,440,402,432
  5. Step 5: Solve for x
    x = 9,868,542,836,654,995,440,402,432/2,564,961,706,881.80
  6. Step 6: Final answer
    x = 3,847,442,560,322.70

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