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Finding the Fourth Proportional to 276,880,508.55, 415,320,762.83 and 276,880,508.55

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Solution

The fourth proportional to 276,880,508.55, 415,320,762.83 and 276,880,508.55 is: 415,320,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,880,508.55 : 415,320,762.83 = 276,880,508.55 : x
  2. Step 2: Convert to fraction form
    276,880,508.55/415,320,762.83 = 276,880,508.55/x
  3. Step 3: Cross multiply
    276,880,508.55x = 415,320,762.83 × 276,880,508.55
  4. Step 4: Simplify right side
    276,880,508.55x = 114,994,224,022,359,936
  5. Step 5: Solve for x
    x = 114,994,224,022,359,936/276,880,508.55
  6. Step 6: Final answer
    x = 415,320,762.83

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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.