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Finding the Fourth Proportional to 577,377,608.60, 864,365,801.70 and 543,743,298.20

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Solution

The fourth proportional to 577,377,608.60, 864,365,801.70 and 543,743,298.20 is: 814,013,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,377,608.60 : 864,365,801.70 = 543,743,298.20 : x
  2. Step 2: Convert to fraction form
    577,377,608.60/864,365,801.70 = 543,743,298.20/x
  3. Step 3: Cross multiply
    577,377,608.60x = 864,365,801.70 × 543,743,298.20
  4. Step 4: Simplify right side
    577,377,608.60x = 469,993,111,867,645,248
  5. Step 5: Solve for x
    x = 469,993,111,867,645,248/577,377,608.60
  6. Step 6: Final answer
    x = 814,013,402.78

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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.