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Finding the Fourth Proportional to 466,129,203.20, 699,193,804.80 and 293,800,601.60

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Solution

The fourth proportional to 466,129,203.20, 699,193,804.80 and 293,800,601.60 is: 440,700,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,129,203.20 : 699,193,804.80 = 293,800,601.60 : x
  2. Step 2: Convert to fraction form
    466,129,203.20/699,193,804.80 = 293,800,601.60/x
  3. Step 3: Cross multiply
    466,129,203.20x = 699,193,804.80 × 293,800,601.60
  4. Step 4: Simplify right side
    466,129,203.20x = 205,423,560,485,232,960
  5. Step 5: Solve for x
    x = 205,423,560,485,232,960/466,129,203.20
  6. Step 6: Final answer
    x = 440,700,902.40

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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.