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Finding the Fourth Proportional to 282,689,744.70, 423,719,689.05 and 110,109,200.70

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Solution

The fourth proportional to 282,689,744.70, 423,719,689.05 and 110,109,200.70 is: 165,041,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,689,744.70 : 423,719,689.05 = 110,109,200.70 : x
  2. Step 2: Convert to fraction form
    282,689,744.70/423,719,689.05 = 110,109,200.70/x
  3. Step 3: Cross multiply
    282,689,744.70x = 423,719,689.05 × 110,109,200.70
  4. Step 4: Simplify right side
    282,689,744.70x = 46,655,436,282,148,048
  5. Step 5: Solve for x
    x = 46,655,436,282,148,048/282,689,744.70
  6. Step 6: Final answer
    x = 165,041,134.87

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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.