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Finding the Fourth Proportional to 340,512,960.40, 510,769,440.60 and 311,456,423.73

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Solution

The fourth proportional to 340,512,960.40, 510,769,440.60 and 311,456,423.73 is: 467,184,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,512,960.40 : 510,769,440.60 = 311,456,423.73 : x
  2. Step 2: Convert to fraction form
    340,512,960.40/510,769,440.60 = 311,456,423.73/x
  3. Step 3: Cross multiply
    340,512,960.40x = 510,769,440.60 × 311,456,423.73
  4. Step 4: Simplify right side
    340,512,960.40x = 159,082,423,319,848,672
  5. Step 5: Solve for x
    x = 159,082,423,319,848,672/340,512,960.40
  6. Step 6: Final answer
    x = 467,184,635.60

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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.