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Finding the Fourth Proportional to 276,832,406.30, 415,248,609.45 and 276,832,406.30

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Solution

The fourth proportional to 276,832,406.30, 415,248,609.45 and 276,832,406.30 is: 415,248,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,832,406.30 : 415,248,609.45 = 276,832,406.30 : x
  2. Step 2: Convert to fraction form
    276,832,406.30/415,248,609.45 = 276,832,406.30/x
  3. Step 3: Cross multiply
    276,832,406.30x = 415,248,609.45 × 276,832,406.30
  4. Step 4: Simplify right side
    276,832,406.30x = 114,954,271,766,772,416
  5. Step 5: Solve for x
    x = 114,954,271,766,772,416/276,832,406.30
  6. Step 6: Final answer
    x = 415,248,609.45

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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.