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Finding the Fourth Proportional to 568,584,742, 856,758,120.84 and 467,224,531.89

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Solution

The fourth proportional to 568,584,742, 856,758,120.84 and 467,224,531.89 is: 704,025,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,584,742 : 856,758,120.84 = 467,224,531.89 : x
  2. Step 2: Convert to fraction form
    568,584,742/856,758,120.84 = 467,224,531.89/x
  3. Step 3: Cross multiply
    568,584,742x = 856,758,120.84 × 467,224,531.89
  4. Step 4: Simplify right side
    568,584,742x = 400,298,411,952,425,088
  5. Step 5: Solve for x
    x = 400,298,411,952,425,088/568,584,742
  6. Step 6: Final answer
    x = 704,025,947.91

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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.