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Finding the Fourth Proportional to 133,686,936,276.40, 200,530,404,414.60 and 133,686,936,276.40

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Solution

The fourth proportional to 133,686,936,276.40, 200,530,404,414.60 and 133,686,936,276.40 is: 200,530,404,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686,936,276.40 : 200,530,404,414.60 = 133,686,936,276.40 : x
  2. Step 2: Convert to fraction form
    133,686,936,276.40/200,530,404,414.60 = 133,686,936,276.40/x
  3. Step 3: Cross multiply
    133,686,936,276.40x = 200,530,404,414.60 × 133,686,936,276.40
  4. Step 4: Simplify right side
    133,686,936,276.40x = 26,808,295,396,455,351,320,576
  5. Step 5: Solve for x
    x = 26,808,295,396,455,351,320,576/133,686,936,276.40
  6. Step 6: Final answer
    x = 200,530,404,414.60

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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.