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Finding the Fourth Proportional to 275,584,514.40, 413,376,771.60 and 243,299,473.65

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Solution

The fourth proportional to 275,584,514.40, 413,376,771.60 and 243,299,473.65 is: 364,949,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,584,514.40 : 413,376,771.60 = 243,299,473.65 : x
  2. Step 2: Convert to fraction form
    275,584,514.40/413,376,771.60 = 243,299,473.65/x
  3. Step 3: Cross multiply
    275,584,514.40x = 413,376,771.60 × 243,299,473.65
  4. Step 4: Simplify right side
    275,584,514.40x = 100,574,350,949,416,272
  5. Step 5: Solve for x
    x = 100,574,350,949,416,272/275,584,514.40
  6. Step 6: Final answer
    x = 364,949,210.48

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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.