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Finding the Fourth Proportional to 2,564,961,706,871.70, 3,847,442,560,307.70 and 2,564,961,706,871.70

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Solution

The fourth proportional to 2,564,961,706,871.70, 3,847,442,560,307.70 and 2,564,961,706,871.70 is: 3,847,442,560,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,961,706,871.70 : 3,847,442,560,307.70 = 2,564,961,706,871.70 : x
  2. Step 2: Convert to fraction form
    2,564,961,706,871.70/3,847,442,560,307.70 = 2,564,961,706,871.70/x
  3. Step 3: Cross multiply
    2,564,961,706,871.70x = 3,847,442,560,307.70 × 2,564,961,706,871.70
  4. Step 4: Simplify right side
    2,564,961,706,871.70x = 9,868,542,836,577,662,406,754,304
  5. Step 5: Solve for x
    x = 9,868,542,836,577,662,406,754,304/2,564,961,706,871.70
  6. Step 6: Final answer
    x = 3,847,442,560,307.70

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