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Finding the Fourth Proportional to 320,105,230.20, 449,356,645.80 and 320,105,230.20

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Solution

The fourth proportional to 320,105,230.20, 449,356,645.80 and 320,105,230.20 is: 449,356,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,105,230.20 : 449,356,645.80 = 320,105,230.20 : x
  2. Step 2: Convert to fraction form
    320,105,230.20/449,356,645.80 = 320,105,230.20/x
  3. Step 3: Cross multiply
    320,105,230.20x = 449,356,645.80 × 320,105,230.20
  4. Step 4: Simplify right side
    320,105,230.20x = 143,841,412,545,708,864
  5. Step 5: Solve for x
    x = 143,841,412,545,708,864/320,105,230.20
  6. Step 6: Final answer
    x = 449,356,645.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.