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Finding the Fourth Proportional to 276,874,908.30, 415,312,362.45 and 276,874,908.30

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Solution

The fourth proportional to 276,874,908.30, 415,312,362.45 and 276,874,908.30 is: 415,312,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,874,908.30 : 415,312,362.45 = 276,874,908.30 : x
  2. Step 2: Convert to fraction form
    276,874,908.30/415,312,362.45 = 276,874,908.30/x
  3. Step 3: Cross multiply
    276,874,908.30x = 415,312,362.45 × 276,874,908.30
  4. Step 4: Simplify right side
    276,874,908.30x = 114,989,572,269,200,112
  5. Step 5: Solve for x
    x = 114,989,572,269,200,112/276,874,908.30
  6. Step 6: Final answer
    x = 415,312,362.45

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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.