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Finding the Fourth Proportional to 360,680,364.16, 497,685,801.54 and 201,902,234.68

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Solution

The fourth proportional to 360,680,364.16, 497,685,801.54 and 201,902,234.68 is: 278,595,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,680,364.16 : 497,685,801.54 = 201,902,234.68 : x
  2. Step 2: Convert to fraction form
    360,680,364.16/497,685,801.54 = 201,902,234.68/x
  3. Step 3: Cross multiply
    360,680,364.16x = 497,685,801.54 × 201,902,234.68
  4. Step 4: Simplify right side
    360,680,364.16x = 100,483,875,499,432,992
  5. Step 5: Solve for x
    x = 100,483,875,499,432,992/360,680,364.16
  6. Step 6: Final answer
    x = 278,595,358.89

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