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Finding the Fourth Proportional to 408,608,387,999.55, 612,912,581,999.30 and 408,608,387,999.55

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Solution

The fourth proportional to 408,608,387,999.55, 612,912,581,999.30 and 408,608,387,999.55 is: 612,912,581,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,608,387,999.55 : 612,912,581,999.30 = 408,608,387,999.55 : x
  2. Step 2: Convert to fraction form
    408,608,387,999.55/612,912,581,999.30 = 408,608,387,999.55/x
  3. Step 3: Cross multiply
    408,608,387,999.55x = 612,912,581,999.30 × 408,608,387,999.55
  4. Step 4: Simplify right side
    408,608,387,999.55x = 250,441,222,115,375,980,740,608
  5. Step 5: Solve for x
    x = 250,441,222,115,375,980,740,608/408,608,387,999.55
  6. Step 6: Final answer
    x = 612,912,581,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.