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Finding the Fourth Proportional to 276,878,665.80, 415,317,998.70 and 276,878,665.80

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Solution

The fourth proportional to 276,878,665.80, 415,317,998.70 and 276,878,665.80 is: 415,317,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,878,665.80 : 415,317,998.70 = 276,878,665.80 : x
  2. Step 2: Convert to fraction form
    276,878,665.80/415,317,998.70 = 276,878,665.80/x
  3. Step 3: Cross multiply
    276,878,665.80x = 415,317,998.70 × 276,878,665.80
  4. Step 4: Simplify right side
    276,878,665.80x = 114,992,693,362,782,144
  5. Step 5: Solve for x
    x = 114,992,693,362,782,144/276,878,665.80
  6. Step 6: Final answer
    x = 415,317,998.70

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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.