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Finding the Fourth Proportional to 299,382,294.30, 449,073,441.45 and 202,447,455.90

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Solution

The fourth proportional to 299,382,294.30, 449,073,441.45 and 202,447,455.90 is: 303,671,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,294.30 : 449,073,441.45 = 202,447,455.90 : x
  2. Step 2: Convert to fraction form
    299,382,294.30/449,073,441.45 = 202,447,455.90/x
  3. Step 3: Cross multiply
    299,382,294.30x = 449,073,441.45 × 202,447,455.90
  4. Step 4: Simplify right side
    299,382,294.30x = 90,913,775,733,810,112
  5. Step 5: Solve for x
    x = 90,913,775,733,810,112/299,382,294.30
  6. Step 6: Final answer
    x = 303,671,183.85

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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.