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Finding the Fourth Proportional to 136,048,902,406.90, 204,073,353,610.35 and 136,048,902,406.90

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Solution

The fourth proportional to 136,048,902,406.90, 204,073,353,610.35 and 136,048,902,406.90 is: 204,073,353,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,048,902,406.90 : 204,073,353,610.35 = 136,048,902,406.90 : x
  2. Step 2: Convert to fraction form
    136,048,902,406.90/204,073,353,610.35 = 136,048,902,406.90/x
  3. Step 3: Cross multiply
    136,048,902,406.90x = 204,073,353,610.35 × 136,048,902,406.90
  4. Step 4: Simplify right side
    136,048,902,406.90x = 27,763,955,769,183,299,436,544
  5. Step 5: Solve for x
    x = 27,763,955,769,183,299,436,544/136,048,902,406.90
  6. Step 6: Final answer
    x = 204,073,353,610.35

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1.5x scale

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.