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Finding the Fourth Proportional to 273,485,232,023.55, 410,227,848,035.33 and 273,485,232,023.55

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Solution

The fourth proportional to 273,485,232,023.55, 410,227,848,035.33 and 273,485,232,023.55 is: 410,227,848,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,485,232,023.55 : 410,227,848,035.33 = 273,485,232,023.55 : x
  2. Step 2: Convert to fraction form
    273,485,232,023.55/410,227,848,035.33 = 273,485,232,023.55/x
  3. Step 3: Cross multiply
    273,485,232,023.55x = 410,227,848,035.33 × 273,485,232,023.55
  4. Step 4: Simplify right side
    273,485,232,023.55x = 112,191,258,202,463,841,288,192
  5. Step 5: Solve for x
    x = 112,191,258,202,463,841,288,192/273,485,232,023.55
  6. Step 6: Final answer
    x = 410,227,848,035.33

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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.