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Finding the Fourth Proportional to 3,105,741,203,999.40, 4,658,611,805,998.80 and 3,105,741,203,999.40

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Solution

The fourth proportional to 3,105,741,203,999.40, 4,658,611,805,998.80 and 3,105,741,203,999.40 is: 4,658,611,805,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,741,203,999.40 : 4,658,611,805,998.80 = 3,105,741,203,999.40 : x
  2. Step 2: Convert to fraction form
    3,105,741,203,999.40/4,658,611,805,998.80 = 3,105,741,203,999.40/x
  3. Step 3: Cross multiply
    3,105,741,203,999.40x = 4,658,611,805,998.80 × 3,105,741,203,999.40
  4. Step 4: Simplify right side
    3,105,741,203,999.40x = 14,468,442,639,328,532,372,652,032
  5. Step 5: Solve for x
    x = 14,468,442,639,328,532,372,652,032/3,105,741,203,999.40
  6. Step 6: Final answer
    x = 4,658,611,805,998.80

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