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Finding the Fourth Proportional to 329,059,937.80, 493,589,906.70 and 83,416,097.80

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Solution

The fourth proportional to 329,059,937.80, 493,589,906.70 and 83,416,097.80 is: 125,124,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,059,937.80 : 493,589,906.70 = 83,416,097.80 : x
  2. Step 2: Convert to fraction form
    329,059,937.80/493,589,906.70 = 83,416,097.80/x
  3. Step 3: Cross multiply
    329,059,937.80x = 493,589,906.70 × 83,416,097.80
  4. Step 4: Simplify right side
    329,059,937.80x = 41,173,343,930,380,072
  5. Step 5: Solve for x
    x = 41,173,343,930,380,072/329,059,937.80
  6. Step 6: Final answer
    x = 125,124,146.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.