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Finding the Fourth Proportional to 472,396,200.30, 708,594,300.45 and 278,207,658.90

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Solution

The fourth proportional to 472,396,200.30, 708,594,300.45 and 278,207,658.90 is: 417,311,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,200.30 : 708,594,300.45 = 278,207,658.90 : x
  2. Step 2: Convert to fraction form
    472,396,200.30/708,594,300.45 = 278,207,658.90/x
  3. Step 3: Cross multiply
    472,396,200.30x = 708,594,300.45 × 278,207,658.90
  4. Step 4: Simplify right side
    472,396,200.30x = 197,136,361,438,077,728
  5. Step 5: Solve for x
    x = 197,136,361,438,077,728/472,396,200.30
  6. Step 6: Final answer
    x = 417,311,488.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.