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Finding the Fourth Proportional to 561,648,762.77, 842,588,049.33 and 193,135,854.69

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Solution

The fourth proportional to 561,648,762.77, 842,588,049.33 and 193,135,854.69 is: 289,743,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,648,762.77 : 842,588,049.33 = 193,135,854.69 : x
  2. Step 2: Convert to fraction form
    561,648,762.77/842,588,049.33 = 193,135,854.69/x
  3. Step 3: Cross multiply
    561,648,762.77x = 842,588,049.33 × 193,135,854.69
  4. Step 4: Simplify right side
    561,648,762.77x = 162,733,963,058,929,440
  5. Step 5: Solve for x
    x = 162,733,963,058,929,440/561,648,762.77
  6. Step 6: Final answer
    x = 289,743,294.83

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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.