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Finding the Fourth Proportional to 209,953,170.70, 314,929,756.05 and 73,589,346.70

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Solution

The fourth proportional to 209,953,170.70, 314,929,756.05 and 73,589,346.70 is: 110,384,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,170.70 : 314,929,756.05 = 73,589,346.70 : x
  2. Step 2: Convert to fraction form
    209,953,170.70/314,929,756.05 = 73,589,346.70/x
  3. Step 3: Cross multiply
    209,953,170.70x = 314,929,756.05 × 73,589,346.70
  4. Step 4: Simplify right side
    209,953,170.70x = 23,175,475,004,109,876
  5. Step 5: Solve for x
    x = 23,175,475,004,109,876/209,953,170.70
  6. Step 6: Final answer
    x = 110,384,020.05

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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.