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Finding the Fourth Proportional to 309,858,794.20, 464,788,191.30 and 309,858,794.20

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Solution

The fourth proportional to 309,858,794.20, 464,788,191.30 and 309,858,794.20 is: 464,788,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,858,794.20 : 464,788,191.30 = 309,858,794.20 : x
  2. Step 2: Convert to fraction form
    309,858,794.20/464,788,191.30 = 309,858,794.20/x
  3. Step 3: Cross multiply
    309,858,794.20x = 464,788,191.30 × 309,858,794.20
  4. Step 4: Simplify right side
    309,858,794.20x = 144,018,708,514,616,928
  5. Step 5: Solve for x
    x = 144,018,708,514,616,928/309,858,794.20
  6. Step 6: Final answer
    x = 464,788,191.30

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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.