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Finding the Fourth Proportional to 629,695,296,797.75, 944,542,945,196.55 and 629,695,296,797.75

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Solution

The fourth proportional to 629,695,296,797.75, 944,542,945,196.55 and 629,695,296,797.75 is: 944,542,945,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,695,296,797.75 : 944,542,945,196.55 = 629,695,296,797.75 : x
  2. Step 2: Convert to fraction form
    629,695,296,797.75/944,542,945,196.55 = 629,695,296,797.75/x
  3. Step 3: Cross multiply
    629,695,296,797.75x = 944,542,945,196.55 × 629,695,296,797.75
  4. Step 4: Simplify right side
    629,695,296,797.75x = 594,774,250,213,762,511,405,056
  5. Step 5: Solve for x
    x = 594,774,250,213,762,511,405,056/629,695,296,797.75
  6. Step 6: Final answer
    x = 944,542,945,196.55

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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.