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Finding the Fourth Proportional to 256,468,401, 384,702,601.50 and 112,861,233

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Solution

The fourth proportional to 256,468,401, 384,702,601.50 and 112,861,233 is: 169,291,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,468,401 : 384,702,601.50 = 112,861,233 : x
  2. Step 2: Convert to fraction form
    256,468,401/384,702,601.50 = 112,861,233/x
  3. Step 3: Cross multiply
    256,468,401x = 384,702,601.50 × 112,861,233
  4. Step 4: Simplify right side
    256,468,401x = 43,418,009,943,597,648
  5. Step 5: Solve for x
    x = 43,418,009,943,597,648/256,468,401
  6. Step 6: Final answer
    x = 169,291,849.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.