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Finding the Fourth Proportional to 20,213,567,999.30, 30,320,351,998.96 and 20,213,567,999.30

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Solution

The fourth proportional to 20,213,567,999.30, 30,320,351,998.96 and 20,213,567,999.30 is: 30,320,351,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,567,999.30 : 30,320,351,998.96 = 20,213,567,999.30 : x
  2. Step 2: Convert to fraction form
    20,213,567,999.30/30,320,351,998.96 = 20,213,567,999.30/x
  3. Step 3: Cross multiply
    20,213,567,999.30x = 30,320,351,998.96 × 20,213,567,999.30
  4. Step 4: Simplify right side
    20,213,567,999.30x = 612,882,496,893,689,659,392
  5. Step 5: Solve for x
    x = 612,882,496,893,689,659,392/20,213,567,999.30
  6. Step 6: Final answer
    x = 30,320,351,998.96

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