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Finding the Fourth Proportional to 599,489,362.76, 826,837,265.22 and 515,997,323.24

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Solution

The fourth proportional to 599,489,362.76, 826,837,265.22 and 515,997,323.24 is: 711,682,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,489,362.76 : 826,837,265.22 = 515,997,323.24 : x
  2. Step 2: Convert to fraction form
    599,489,362.76/826,837,265.22 = 515,997,323.24/x
  3. Step 3: Cross multiply
    599,489,362.76x = 826,837,265.22 × 515,997,323.24
  4. Step 4: Simplify right side
    599,489,362.76x = 426,645,815,608,601,984
  5. Step 5: Solve for x
    x = 426,645,815,608,601,984/599,489,362.76
  6. Step 6: Final answer
    x = 711,682,044.94

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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.