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Finding the Fourth Proportional to 201,022,886.20, 280,858,084.40 and 201,022,886.20

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Solution

The fourth proportional to 201,022,886.20, 280,858,084.40 and 201,022,886.20 is: 280,858,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,022,886.20 : 280,858,084.40 = 201,022,886.20 : x
  2. Step 2: Convert to fraction form
    201,022,886.20/280,858,084.40 = 201,022,886.20/x
  3. Step 3: Cross multiply
    201,022,886.20x = 280,858,084.40 × 201,022,886.20
  4. Step 4: Simplify right side
    201,022,886.20x = 56,458,902,738,691,184
  5. Step 5: Solve for x
    x = 56,458,902,738,691,184/201,022,886.20
  6. Step 6: Final answer
    x = 280,858,084.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.