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Finding the Fourth Proportional to 273,485,232,023.80, 410,227,848,035.70 and 273,485,232,023.80

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Solution

The fourth proportional to 273,485,232,023.80, 410,227,848,035.70 and 273,485,232,023.80 is: 410,227,848,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,485,232,023.80 : 410,227,848,035.70 = 273,485,232,023.80 : x
  2. Step 2: Convert to fraction form
    273,485,232,023.80/410,227,848,035.70 = 273,485,232,023.80/x
  3. Step 3: Cross multiply
    273,485,232,023.80x = 410,227,848,035.70 × 273,485,232,023.80
  4. Step 4: Simplify right side
    273,485,232,023.80x = 112,191,258,202,667,583,799,296
  5. Step 5: Solve for x
    x = 112,191,258,202,667,583,799,296/273,485,232,023.80
  6. Step 6: Final answer
    x = 410,227,848,035.70

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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.