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Finding the Fourth Proportional to 442,673,967.96, 664,240,757.12 and 180,550,825.28

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Solution

The fourth proportional to 442,673,967.96, 664,240,757.12 and 180,550,825.28 is: 270,919,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,673,967.96 : 664,240,757.12 = 180,550,825.28 : x
  2. Step 2: Convert to fraction form
    442,673,967.96/664,240,757.12 = 180,550,825.28/x
  3. Step 3: Cross multiply
    442,673,967.96x = 664,240,757.12 × 180,550,825.28
  4. Step 4: Simplify right side
    442,673,967.96x = 119,929,216,882,628,032
  5. Step 5: Solve for x
    x = 119,929,216,882,628,032/442,673,967.96
  6. Step 6: Final answer
    x = 270,919,967.21

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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.