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Finding the Fourth Proportional to 297,951,213.80, 446,926,820.70 and 144,896,205.80

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Solution

The fourth proportional to 297,951,213.80, 446,926,820.70 and 144,896,205.80 is: 217,344,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,951,213.80 : 446,926,820.70 = 144,896,205.80 : x
  2. Step 2: Convert to fraction form
    297,951,213.80/446,926,820.70 = 144,896,205.80/x
  3. Step 3: Cross multiply
    297,951,213.80x = 446,926,820.70 × 144,896,205.80
  4. Step 4: Simplify right side
    297,951,213.80x = 64,758,000,589,686,904
  5. Step 5: Solve for x
    x = 64,758,000,589,686,904/297,951,213.80
  6. Step 6: Final answer
    x = 217,344,308.70

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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.