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Finding the Fourth Proportional to 561,847,198.74, 775,343,423.10 and 310,952,077.71

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Solution

The fourth proportional to 561,847,198.74, 775,343,423.10 and 310,952,077.71 is: 429,110,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,847,198.74 : 775,343,423.10 = 310,952,077.71 : x
  2. Step 2: Convert to fraction form
    561,847,198.74/775,343,423.10 = 310,952,077.71/x
  3. Step 3: Cross multiply
    561,847,198.74x = 775,343,423.10 × 310,952,077.71
  4. Step 4: Simplify right side
    561,847,198.74x = 241,094,648,351,728,608
  5. Step 5: Solve for x
    x = 241,094,648,351,728,608/561,847,198.74
  6. Step 6: Final answer
    x = 429,110,706.42

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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.