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Finding the Fourth Proportional to 546,188,213,999.20, 819,282,320,998.80 and 546,188,213,999.20

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Solution

The fourth proportional to 546,188,213,999.20, 819,282,320,998.80 and 546,188,213,999.20 is: 819,282,320,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,188,213,999.20 : 819,282,320,998.80 = 546,188,213,999.20 : x
  2. Step 2: Convert to fraction form
    546,188,213,999.20/819,282,320,998.80 = 546,188,213,999.20/x
  3. Step 3: Cross multiply
    546,188,213,999.20x = 819,282,320,998.80 × 546,188,213,999.20
  4. Step 4: Simplify right side
    546,188,213,999.20x = 447,482,347,667,453,877,682,176
  5. Step 5: Solve for x
    x = 447,482,347,667,453,877,682,176/546,188,213,999.20
  6. Step 6: Final answer
    x = 819,282,320,998.80

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