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Finding the Fourth Proportional to 472,654,273.80, 708,503,113.80 and 278,465,732.40

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Solution

The fourth proportional to 472,654,273.80, 708,503,113.80 and 278,465,732.40 is: 417,416,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,654,273.80 : 708,503,113.80 = 278,465,732.40 : x
  2. Step 2: Convert to fraction form
    472,654,273.80/708,503,113.80 = 278,465,732.40/x
  3. Step 3: Cross multiply
    472,654,273.80x = 708,503,113.80 × 278,465,732.40
  4. Step 4: Simplify right side
    472,654,273.80x = 197,293,838,491,997,504
  5. Step 5: Solve for x
    x = 197,293,838,491,997,504/472,654,273.80
  6. Step 6: Final answer
    x = 417,416,808.50

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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.