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Finding the Fourth Proportional to 276,874,902.80, 415,312,354.20 and 276,874,902.80

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Solution

The fourth proportional to 276,874,902.80, 415,312,354.20 and 276,874,902.80 is: 415,312,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,874,902.80 : 415,312,354.20 = 276,874,902.80 : x
  2. Step 2: Convert to fraction form
    276,874,902.80/415,312,354.20 = 276,874,902.80/x
  3. Step 3: Cross multiply
    276,874,902.80x = 415,312,354.20 × 276,874,902.80
  4. Step 4: Simplify right side
    276,874,902.80x = 114,989,567,700,764,176
  5. Step 5: Solve for x
    x = 114,989,567,700,764,176/276,874,902.80
  6. Step 6: Final answer
    x = 415,312,354.20

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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.