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Finding the Fourth Proportional to 3,185,461,727,999.60, 4,778,192,591,999.60 and 3,185,461,727,999.60

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Solution

The fourth proportional to 3,185,461,727,999.60, 4,778,192,591,999.60 and 3,185,461,727,999.60 is: 4,778,192,591,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,461,727,999.60 : 4,778,192,591,999.60 = 3,185,461,727,999.60 : x
  2. Step 2: Convert to fraction form
    3,185,461,727,999.60/4,778,192,591,999.60 = 3,185,461,727,999.60/x
  3. Step 3: Cross multiply
    3,185,461,727,999.60x = 4,778,192,591,999.60 × 3,185,461,727,999.60
  4. Step 4: Simplify right side
    3,185,461,727,999.60x = 15,220,749,630,825,932,938,805,248
  5. Step 5: Solve for x
    x = 15,220,749,630,825,932,938,805,248/3,185,461,727,999.60
  6. Step 6: Final answer
    x = 4,778,192,591,999.60

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