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Finding the Fourth Proportional to 596,400,762.26, 894,301,781.96 and 347,486,589.38

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Solution

The fourth proportional to 596,400,762.26, 894,301,781.96 and 347,486,589.38 is: 521,055,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,400,762.26 : 894,301,781.96 = 347,486,589.38 : x
  2. Step 2: Convert to fraction form
    596,400,762.26/894,301,781.96 = 347,486,589.38/x
  3. Step 3: Cross multiply
    596,400,762.26x = 894,301,781.96 × 347,486,589.38
  4. Step 4: Simplify right side
    596,400,762.26x = 310,757,876,083,527,872
  5. Step 5: Solve for x
    x = 310,757,876,083,527,872/596,400,762.26
  6. Step 6: Final answer
    x = 521,055,464.30

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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.