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Finding the Fourth Proportional to 293,695,145,999.55, 440,542,718,999.32 and 293,695,145,999.55

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Solution

The fourth proportional to 293,695,145,999.55, 440,542,718,999.32 and 293,695,145,999.55 is: 440,542,718,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,695,145,999.55 : 440,542,718,999.32 = 293,695,145,999.55 : x
  2. Step 2: Convert to fraction form
    293,695,145,999.55/440,542,718,999.32 = 293,695,145,999.55/x
  3. Step 3: Cross multiply
    293,695,145,999.55x = 440,542,718,999.32 × 293,695,145,999.55
  4. Step 4: Simplify right side
    293,695,145,999.55x = 129,385,258,175,544,019,648,512
  5. Step 5: Solve for x
    x = 129,385,258,175,544,019,648,512/293,695,145,999.55
  6. Step 6: Final answer
    x = 440,542,718,999.32

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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.