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Finding the Fourth Proportional to 167,897,589,766.20, 251,846,384,649.30 and 167,897,589,766.20

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Solution

The fourth proportional to 167,897,589,766.20, 251,846,384,649.30 and 167,897,589,766.20 is: 251,846,384,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,897,589,766.20 : 251,846,384,649.30 = 167,897,589,766.20 : x
  2. Step 2: Convert to fraction form
    167,897,589,766.20/251,846,384,649.30 = 167,897,589,766.20/x
  3. Step 3: Cross multiply
    167,897,589,766.20x = 251,846,384,649.30 × 167,897,589,766.20
  4. Step 4: Simplify right side
    167,897,589,766.20x = 42,284,400,973,948,781,592,576
  5. Step 5: Solve for x
    x = 42,284,400,973,948,781,592,576/167,897,589,766.20
  6. Step 6: Final answer
    x = 251,846,384,649.30

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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.