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Finding the Fourth Proportional to 178,733,967.80, 268,100,951.70 and 110,709,519.80

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Solution

The fourth proportional to 178,733,967.80, 268,100,951.70 and 110,709,519.80 is: 166,064,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,733,967.80 : 268,100,951.70 = 110,709,519.80 : x
  2. Step 2: Convert to fraction form
    178,733,967.80/268,100,951.70 = 110,709,519.80/x
  3. Step 3: Cross multiply
    178,733,967.80x = 268,100,951.70 × 110,709,519.80
  4. Step 4: Simplify right side
    178,733,967.80x = 29,681,327,620,629,992
  5. Step 5: Solve for x
    x = 29,681,327,620,629,992/178,733,967.80
  6. Step 6: Final answer
    x = 166,064,279.70

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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.