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Finding the Fourth Proportional to 3,906,997,443,746.40, 5,860,496,165,619.60 and 3,906,997,443,746.40

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Solution

The fourth proportional to 3,906,997,443,746.40, 5,860,496,165,619.60 and 3,906,997,443,746.40 is: 5,860,496,165,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906,997,443,746.40 : 5,860,496,165,619.60 = 3,906,997,443,746.40 : x
  2. Step 2: Convert to fraction form
    3,906,997,443,746.40/5,860,496,165,619.60 = 3,906,997,443,746.40/x
  3. Step 3: Cross multiply
    3,906,997,443,746.40x = 5,860,496,165,619.60 × 3,906,997,443,746.40
  4. Step 4: Simplify right side
    3,906,997,443,746.40x = 22,896,943,538,161,353,725,313,024
  5. Step 5: Solve for x
    x = 22,896,943,538,161,353,725,313,024/3,906,997,443,746.40
  6. Step 6: Final answer
    x = 5,860,496,165,619.60

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