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Finding the Fourth Proportional to 568,584,743, 856,758,122.35 and 467,224,532.89

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Solution

The fourth proportional to 568,584,743, 856,758,122.35 and 467,224,532.89 is: 704,025,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,584,743 : 856,758,122.35 = 467,224,532.89 : x
  2. Step 2: Convert to fraction form
    568,584,743/856,758,122.35 = 467,224,532.89/x
  3. Step 3: Cross multiply
    568,584,743x = 856,758,122.35 × 467,224,532.89
  4. Step 4: Simplify right side
    568,584,743x = 400,298,413,514,692,224
  5. Step 5: Solve for x
    x = 400,298,413,514,692,224/568,584,743
  6. Step 6: Final answer
    x = 704,025,949.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.