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Finding the Fourth Proportional to 1,002,512,159.03, 1,503,766,171.43 and 565,614,512.93

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Solution

The fourth proportional to 1,002,512,159.03, 1,503,766,171.43 and 565,614,512.93 is: 848,420,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,512,159.03 : 1,503,766,171.43 = 565,614,512.93 : x
  2. Step 2: Convert to fraction form
    1,002,512,159.03/1,503,766,171.43 = 565,614,512.93/x
  3. Step 3: Cross multiply
    1,002,512,159.03x = 1,503,766,171.43 × 565,614,512.93
  4. Step 4: Simplify right side
    1,002,512,159.03x = 850,551,970,613,990,272
  5. Step 5: Solve for x
    x = 850,551,970,613,990,272/1,002,512,159.03
  6. Step 6: Final answer
    x = 848,420,603.13

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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.