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Finding the Fourth Proportional to 226,823,404.80, 340,235,107.20 and 226,823,404.80

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Solution

The fourth proportional to 226,823,404.80, 340,235,107.20 and 226,823,404.80 is: 340,235,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,823,404.80 : 340,235,107.20 = 226,823,404.80 : x
  2. Step 2: Convert to fraction form
    226,823,404.80/340,235,107.20 = 226,823,404.80/x
  3. Step 3: Cross multiply
    226,823,404.80x = 340,235,107.20 × 226,823,404.80
  4. Step 4: Simplify right side
    226,823,404.80x = 77,173,285,447,596,992
  5. Step 5: Solve for x
    x = 77,173,285,447,596,992/226,823,404.80
  6. Step 6: Final answer
    x = 340,235,107.20

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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.