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Finding the Fourth Proportional to 321,896,695.20, 482,845,042.80 and 117,431,440.80

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Solution

The fourth proportional to 321,896,695.20, 482,845,042.80 and 117,431,440.80 is: 176,147,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896,695.20 : 482,845,042.80 = 117,431,440.80 : x
  2. Step 2: Convert to fraction form
    321,896,695.20/482,845,042.80 = 117,431,440.80/x
  3. Step 3: Cross multiply
    321,896,695.20x = 482,845,042.80 × 117,431,440.80
  4. Step 4: Simplify right side
    321,896,695.20x = 56,701,189,059,141,664
  5. Step 5: Solve for x
    x = 56,701,189,059,141,664/321,896,695.20
  6. Step 6: Final answer
    x = 176,147,161.20

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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.