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Finding the Fourth Proportional to 775,350,922.82, 1,069,987,600.06 and 422,934,593.54

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Solution

The fourth proportional to 775,350,922.82, 1,069,987,600.06 and 422,934,593.54 is: 583,651,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,350,922.82 : 1,069,987,600.06 = 422,934,593.54 : x
  2. Step 2: Convert to fraction form
    775,350,922.82/1,069,987,600.06 = 422,934,593.54/x
  3. Step 3: Cross multiply
    775,350,922.82x = 1,069,987,600.06 × 422,934,593.54
  4. Step 4: Simplify right side
    775,350,922.82x = 452,534,770,717,808,960
  5. Step 5: Solve for x
    x = 452,534,770,717,808,960/775,350,922.82
  6. Step 6: Final answer
    x = 583,651,553.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.