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Finding the Fourth Proportional to 472,396,169.70, 708,594,254.55 and 450,872,809.20

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Solution

The fourth proportional to 472,396,169.70, 708,594,254.55 and 450,872,809.20 is: 676,309,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,169.70 : 708,594,254.55 = 450,872,809.20 : x
  2. Step 2: Convert to fraction form
    472,396,169.70/708,594,254.55 = 450,872,809.20/x
  3. Step 3: Cross multiply
    472,396,169.70x = 708,594,254.55 × 450,872,809.20
  4. Step 4: Simplify right side
    472,396,169.70x = 319,485,882,131,938,368
  5. Step 5: Solve for x
    x = 319,485,882,131,938,368/472,396,169.70
  6. Step 6: Final answer
    x = 676,309,213.80

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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.