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Finding the Fourth Proportional to 412,818,668.16, 569,561,507.22 and 234,173,113.80

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Solution

The fourth proportional to 412,818,668.16, 569,561,507.22 and 234,173,113.80 is: 323,086,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818,668.16 : 569,561,507.22 = 234,173,113.80 : x
  2. Step 2: Convert to fraction form
    412,818,668.16/569,561,507.22 = 234,173,113.80/x
  3. Step 3: Cross multiply
    412,818,668.16x = 569,561,507.22 × 234,173,113.80
  4. Step 4: Simplify right side
    412,818,668.16x = 133,375,991,646,328,592
  5. Step 5: Solve for x
    x = 133,375,991,646,328,592/412,818,668.16
  6. Step 6: Final answer
    x = 323,086,143.95

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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.