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Finding the Fourth Proportional to 133,686,936,280.09, 200,530,404,420.13 and 133,686,936,280.09

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Solution

The fourth proportional to 133,686,936,280.09, 200,530,404,420.13 and 133,686,936,280.09 is: 200,530,404,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686,936,280.09 : 200,530,404,420.13 = 133,686,936,280.09 : x
  2. Step 2: Convert to fraction form
    133,686,936,280.09/200,530,404,420.13 = 133,686,936,280.09/x
  3. Step 3: Cross multiply
    133,686,936,280.09x = 200,530,404,420.13 × 133,686,936,280.09
  4. Step 4: Simplify right side
    133,686,936,280.09x = 26,808,295,397,934,598,455,296
  5. Step 5: Solve for x
    x = 26,808,295,397,934,598,455,296/133,686,936,280.09
  6. Step 6: Final answer
    x = 200,530,404,420.13

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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.