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Finding the Fourth Proportional to 404,379,233.20, 606,568,849.80 and 200,305,889.20

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Solution

The fourth proportional to 404,379,233.20, 606,568,849.80 and 200,305,889.20 is: 300,458,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,379,233.20 : 606,568,849.80 = 200,305,889.20 : x
  2. Step 2: Convert to fraction form
    404,379,233.20/606,568,849.80 = 200,305,889.20/x
  3. Step 3: Cross multiply
    404,379,233.20x = 606,568,849.80 × 200,305,889.20
  4. Step 4: Simplify right side
    404,379,233.20x = 121,499,312,820,210,224
  5. Step 5: Solve for x
    x = 121,499,312,820,210,224/404,379,233.20
  6. Step 6: Final answer
    x = 300,458,833.80

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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.