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Finding the Fourth Proportional to 546,658,334.40, 819,987,501.60 and 504,568,207.20

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Solution

The fourth proportional to 546,658,334.40, 819,987,501.60 and 504,568,207.20 is: 756,852,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,658,334.40 : 819,987,501.60 = 504,568,207.20 : x
  2. Step 2: Convert to fraction form
    546,658,334.40/819,987,501.60 = 504,568,207.20/x
  3. Step 3: Cross multiply
    546,658,334.40x = 819,987,501.60 × 504,568,207.20
  4. Step 4: Simplify right side
    546,658,334.40x = 413,739,623,608,719,104
  5. Step 5: Solve for x
    x = 413,739,623,608,719,104/546,658,334.40
  6. Step 6: Final answer
    x = 756,852,310.80

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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.