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Finding the Fourth Proportional to 213,192,002.40, 319,788,003.60 and 213,192,002.40

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Solution

The fourth proportional to 213,192,002.40, 319,788,003.60 and 213,192,002.40 is: 319,788,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,192,002.40 : 319,788,003.60 = 213,192,002.40 : x
  2. Step 2: Convert to fraction form
    213,192,002.40/319,788,003.60 = 213,192,002.40/x
  3. Step 3: Cross multiply
    213,192,002.40x = 319,788,003.60 × 213,192,002.40
  4. Step 4: Simplify right side
    213,192,002.40x = 68,176,244,830,982,416
  5. Step 5: Solve for x
    x = 68,176,244,830,982,416/213,192,002.40
  6. Step 6: Final answer
    x = 319,788,003.60

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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.