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Finding the Fourth Proportional to 299,382,316.80, 449,073,475.20 and 255,544,339.20

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Solution

The fourth proportional to 299,382,316.80, 449,073,475.20 and 255,544,339.20 is: 383,316,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,316.80 : 449,073,475.20 = 255,544,339.20 : x
  2. Step 2: Convert to fraction form
    299,382,316.80/449,073,475.20 = 255,544,339.20/x
  3. Step 3: Cross multiply
    299,382,316.80x = 449,073,475.20 × 255,544,339.20
  4. Step 4: Simplify right side
    299,382,316.80x = 114,758,184,472,231,584
  5. Step 5: Solve for x
    x = 114,758,184,472,231,584/299,382,316.80
  6. Step 6: Final answer
    x = 383,316,508.80

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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.