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Finding the Fourth Proportional to 2,584,929,388,768.40, 3,877,394,083,152.70 and 2,584,929,388,768.40

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Solution

The fourth proportional to 2,584,929,388,768.40, 3,877,394,083,152.70 and 2,584,929,388,768.40 is: 3,877,394,083,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,929,388,768.40 : 3,877,394,083,152.70 = 2,584,929,388,768.40 : x
  2. Step 2: Convert to fraction form
    2,584,929,388,768.40/3,877,394,083,152.70 = 2,584,929,388,768.40/x
  3. Step 3: Cross multiply
    2,584,929,388,768.40x = 3,877,394,083,152.70 × 2,584,929,388,768.40
  4. Step 4: Simplify right side
    2,584,929,388,768.40x = 10,022,789,917,378,120,096,153,600
  5. Step 5: Solve for x
    x = 10,022,789,917,378,120,096,153,600/2,584,929,388,768.40
  6. Step 6: Final answer
    x = 3,877,394,083,152.70

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