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Finding the Fourth Proportional to 298,933,342.40, 448,470,872.40 and 153,389,367.20

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Solution

The fourth proportional to 298,933,342.40, 448,470,872.40 and 153,389,367.20 is: 230,120,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,933,342.40 : 448,470,872.40 = 153,389,367.20 : x
  2. Step 2: Convert to fraction form
    298,933,342.40/448,470,872.40 = 153,389,367.20/x
  3. Step 3: Cross multiply
    298,933,342.40x = 448,470,872.40 × 153,389,367.20
  4. Step 4: Simplify right side
    298,933,342.40x = 68,790,663,325,067,936
  5. Step 5: Solve for x
    x = 68,790,663,325,067,936/298,933,342.40
  6. Step 6: Final answer
    x = 230,120,410.03

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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.