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Finding the Fourth Proportional to 78,166,449.82, 117,250,672.55 and 20,658,224.13

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Solution

The fourth proportional to 78,166,449.82, 117,250,672.55 and 20,658,224.13 is: 30,987,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166,449.82 : 117,250,672.55 = 20,658,224.13 : x
  2. Step 2: Convert to fraction form
    78,166,449.82/117,250,672.55 = 20,658,224.13/x
  3. Step 3: Cross multiply
    78,166,449.82x = 117,250,672.55 × 20,658,224.13
  4. Step 4: Simplify right side
    78,166,449.82x = 2,422,190,672,931,138.50
  5. Step 5: Solve for x
    x = 2,422,190,672,931,138.50/78,166,449.82
  6. Step 6: Final answer
    x = 30,987,599.90

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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.