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Finding the Fourth Proportional to 294,029,587.20, 441,044,380.80 and 294,029,587.20

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Solution

The fourth proportional to 294,029,587.20, 441,044,380.80 and 294,029,587.20 is: 441,044,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,029,587.20 : 441,044,380.80 = 294,029,587.20 : x
  2. Step 2: Convert to fraction form
    294,029,587.20/441,044,380.80 = 294,029,587.20/x
  3. Step 3: Cross multiply
    294,029,587.20x = 441,044,380.80 × 294,029,587.20
  4. Step 4: Simplify right side
    294,029,587.20x = 129,680,097,223,503,600
  5. Step 5: Solve for x
    x = 129,680,097,223,503,600/294,029,587.20
  6. Step 6: Final answer
    x = 441,044,380.80

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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.