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Finding the Fourth Proportional to 800,809,286.80, 1,201,213,930.20 and 340,762,464.40

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Solution

The fourth proportional to 800,809,286.80, 1,201,213,930.20 and 340,762,464.40 is: 511,143,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,809,286.80 : 1,201,213,930.20 = 340,762,464.40 : x
  2. Step 2: Convert to fraction form
    800,809,286.80/1,201,213,930.20 = 340,762,464.40/x
  3. Step 3: Cross multiply
    800,809,286.80x = 1,201,213,930.20 × 340,762,464.40
  4. Step 4: Simplify right side
    800,809,286.80x = 409,328,619,126,561,600
  5. Step 5: Solve for x
    x = 409,328,619,126,561,600/800,809,286.80
  6. Step 6: Final answer
    x = 511,143,696.60

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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.