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Finding the Fourth Proportional to 167,897,589,847.05, 251,846,384,770.57 and 167,897,589,847.05

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Solution

The fourth proportional to 167,897,589,847.05, 251,846,384,770.57 and 167,897,589,847.05 is: 251,846,384,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,897,589,847.05 : 251,846,384,770.57 = 167,897,589,847.05 : x
  2. Step 2: Convert to fraction form
    167,897,589,847.05/251,846,384,770.57 = 167,897,589,847.05/x
  3. Step 3: Cross multiply
    167,897,589,847.05x = 251,846,384,770.57 × 167,897,589,847.05
  4. Step 4: Simplify right side
    167,897,589,847.05x = 42,284,401,014,671,497,232,384
  5. Step 5: Solve for x
    x = 42,284,401,014,671,497,232,384/167,897,589,847.05
  6. Step 6: Final answer
    x = 251,846,384,770.57

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Double scale
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1.5x scale

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.