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Finding the Fourth Proportional to 319,431,519.40, 479,147,279.10 and 319,431,519.40

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Solution

The fourth proportional to 319,431,519.40, 479,147,279.10 and 319,431,519.40 is: 479,147,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,431,519.40 : 479,147,279.10 = 319,431,519.40 : x
  2. Step 2: Convert to fraction form
    319,431,519.40/479,147,279.10 = 319,431,519.40/x
  3. Step 3: Cross multiply
    319,431,519.40x = 479,147,279.10 × 319,431,519.40
  4. Step 4: Simplify right side
    319,431,519.40x = 153,054,743,379,288,864
  5. Step 5: Solve for x
    x = 153,054,743,379,288,864/319,431,519.40
  6. Step 6: Final answer
    x = 479,147,279.10

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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.