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Finding the Fourth Proportional to 409,691,839.20, 613,679,288.40 and 191,528,383.20

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Solution

The fourth proportional to 409,691,839.20, 613,679,288.40 and 191,528,383.20 is: 286,891,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,691,839.20 : 613,679,288.40 = 191,528,383.20 : x
  2. Step 2: Convert to fraction form
    409,691,839.20/613,679,288.40 = 191,528,383.20/x
  3. Step 3: Cross multiply
    409,691,839.20x = 613,679,288.40 × 191,528,383.20
  4. Step 4: Simplify right side
    409,691,839.20x = 117,537,001,910,578,496
  5. Step 5: Solve for x
    x = 117,537,001,910,578,496/409,691,839.20
  6. Step 6: Final answer
    x = 286,891,245.23

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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.