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Finding the Fourth Proportional to 196,992,209.80, 295,488,314.70 and 194,304,824.20

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Solution

The fourth proportional to 196,992,209.80, 295,488,314.70 and 194,304,824.20 is: 291,457,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992,209.80 : 295,488,314.70 = 194,304,824.20 : x
  2. Step 2: Convert to fraction form
    196,992,209.80/295,488,314.70 = 194,304,824.20/x
  3. Step 3: Cross multiply
    196,992,209.80x = 295,488,314.70 × 194,304,824.20
  4. Step 4: Simplify right side
    196,992,209.80x = 57,414,805,040,937,768
  5. Step 5: Solve for x
    x = 57,414,805,040,937,768/196,992,209.80
  6. Step 6: Final answer
    x = 291,457,236.30

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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.