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Finding the Fourth Proportional to 271,857,999.80, 407,786,999.70 and 80,381,775.80

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Solution

The fourth proportional to 271,857,999.80, 407,786,999.70 and 80,381,775.80 is: 120,572,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,857,999.80 : 407,786,999.70 = 80,381,775.80 : x
  2. Step 2: Convert to fraction form
    271,857,999.80/407,786,999.70 = 80,381,775.80/x
  3. Step 3: Cross multiply
    271,857,999.80x = 407,786,999.70 × 80,381,775.80
  4. Step 4: Simplify right side
    271,857,999.80x = 32,778,643,184,040,064
  5. Step 5: Solve for x
    x = 32,778,643,184,040,064/271,857,999.80
  6. Step 6: Final answer
    x = 120,572,663.70

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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.