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Finding the Fourth Proportional to 472,392,607.20, 708,588,910.80 and 416,910,166.80

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Solution

The fourth proportional to 472,392,607.20, 708,588,910.80 and 416,910,166.80 is: 625,365,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,607.20 : 708,588,910.80 = 416,910,166.80 : x
  2. Step 2: Convert to fraction form
    472,392,607.20/708,588,910.80 = 416,910,166.80/x
  3. Step 3: Cross multiply
    472,392,607.20x = 708,588,910.80 × 416,910,166.80
  4. Step 4: Simplify right side
    472,392,607.20x = 295,417,920,994,258,304
  5. Step 5: Solve for x
    x = 295,417,920,994,258,304/472,392,607.20
  6. Step 6: Final answer
    x = 625,365,250.20

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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.