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Finding the Fourth Proportional to 2,564,961,706,875.80, 3,847,442,560,313.80 and 2,564,961,706,875.80

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Solution

The fourth proportional to 2,564,961,706,875.80, 3,847,442,560,313.80 and 2,564,961,706,875.80 is: 3,847,442,560,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,961,706,875.80 : 3,847,442,560,313.80 = 2,564,961,706,875.80 : x
  2. Step 2: Convert to fraction form
    2,564,961,706,875.80/3,847,442,560,313.80 = 2,564,961,706,875.80/x
  3. Step 3: Cross multiply
    2,564,961,706,875.80x = 3,847,442,560,313.80 × 2,564,961,706,875.80
  4. Step 4: Simplify right side
    2,564,961,706,875.80x = 9,868,542,836,609,082,240,008,192
  5. Step 5: Solve for x
    x = 9,868,542,836,609,082,240,008,192/2,564,961,706,875.80
  6. Step 6: Final answer
    x = 3,847,442,560,313.80

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