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Finding the Fourth Proportional to 336,370,438.40, 504,555,657.60 and 200,321,542.40

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Solution

The fourth proportional to 336,370,438.40, 504,555,657.60 and 200,321,542.40 is: 300,482,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,370,438.40 : 504,555,657.60 = 200,321,542.40 : x
  2. Step 2: Convert to fraction form
    336,370,438.40/504,555,657.60 = 200,321,542.40/x
  3. Step 3: Cross multiply
    336,370,438.40x = 504,555,657.60 × 200,321,542.40
  4. Step 4: Simplify right side
    336,370,438.40x = 101,073,367,557,078,288
  5. Step 5: Solve for x
    x = 101,073,367,557,078,288/336,370,438.40
  6. Step 6: Final answer
    x = 300,482,313.60

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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.