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Finding the Fourth Proportional to 360,680,363.16, 497,685,800.16 and 201,902,233.68

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Solution

The fourth proportional to 360,680,363.16, 497,685,800.16 and 201,902,233.68 is: 278,595,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,680,363.16 : 497,685,800.16 = 201,902,233.68 : x
  2. Step 2: Convert to fraction form
    360,680,363.16/497,685,800.16 = 201,902,233.68/x
  3. Step 3: Cross multiply
    360,680,363.16x = 497,685,800.16 × 201,902,233.68
  4. Step 4: Simplify right side
    360,680,363.16x = 100,483,874,723,122,112
  5. Step 5: Solve for x
    x = 100,483,874,723,122,112/360,680,363.16
  6. Step 6: Final answer
    x = 278,595,357.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.