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Finding the Fourth Proportional to 329,059,954.80, 493,589,932.20 and 83,416,114.80

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Solution

The fourth proportional to 329,059,954.80, 493,589,932.20 and 83,416,114.80 is: 125,124,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,059,954.80 : 493,589,932.20 = 83,416,114.80 : x
  2. Step 2: Convert to fraction form
    329,059,954.80/493,589,932.20 = 83,416,114.80/x
  3. Step 3: Cross multiply
    329,059,954.80x = 493,589,932.20 × 83,416,114.80
  4. Step 4: Simplify right side
    329,059,954.80x = 41,173,354,448,519,416
  5. Step 5: Solve for x
    x = 41,173,354,448,519,416/329,059,954.80
  6. Step 6: Final answer
    x = 125,124,172.20

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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.