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Finding the Fourth Proportional to 391,306,506.40, 587,192,002.80 and 148,993,904.80

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Solution

The fourth proportional to 391,306,506.40, 587,192,002.80 and 148,993,904.80 is: 223,579,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,306,506.40 : 587,192,002.80 = 148,993,904.80 : x
  2. Step 2: Convert to fraction form
    391,306,506.40/587,192,002.80 = 148,993,904.80/x
  3. Step 3: Cross multiply
    391,306,506.40x = 587,192,002.80 × 148,993,904.80
  4. Step 4: Simplify right side
    391,306,506.40x = 87,488,029,364,504,528
  5. Step 5: Solve for x
    x = 87,488,029,364,504,528/391,306,506.40
  6. Step 6: Final answer
    x = 223,579,286.14

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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.