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Finding the Fourth Proportional to 472,392,479.70, 708,588,719.55 and 416,910,039.30

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Solution

The fourth proportional to 472,392,479.70, 708,588,719.55 and 416,910,039.30 is: 625,365,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,479.70 : 708,588,719.55 = 416,910,039.30 : x
  2. Step 2: Convert to fraction form
    472,392,479.70/708,588,719.55 = 416,910,039.30/x
  3. Step 3: Cross multiply
    472,392,479.70x = 708,588,719.55 × 416,910,039.30
  4. Step 4: Simplify right side
    472,392,479.70x = 295,417,750,915,127,168
  5. Step 5: Solve for x
    x = 295,417,750,915,127,168/472,392,479.70
  6. Step 6: Final answer
    x = 625,365,058.95

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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.