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Finding the Fourth Proportional to 133,686,936,273.20, 200,530,404,409.80 and 133,686,936,273.20

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Solution

The fourth proportional to 133,686,936,273.20, 200,530,404,409.80 and 133,686,936,273.20 is: 200,530,404,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686,936,273.20 : 200,530,404,409.80 = 133,686,936,273.20 : x
  2. Step 2: Convert to fraction form
    133,686,936,273.20/200,530,404,409.80 = 133,686,936,273.20/x
  3. Step 3: Cross multiply
    133,686,936,273.20x = 200,530,404,409.80 × 133,686,936,273.20
  4. Step 4: Simplify right side
    133,686,936,273.20x = 26,808,295,395,171,953,016,832
  5. Step 5: Solve for x
    x = 26,808,295,395,171,953,016,832/133,686,936,273.20
  6. Step 6: Final answer
    x = 200,530,404,409.80

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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.