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Finding the Fourth Proportional to 203,400,936,000.15, 305,101,404,000.22 and 203,400,936,000.15

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Solution

The fourth proportional to 203,400,936,000.15, 305,101,404,000.22 and 203,400,936,000.15 is: 305,101,404,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400,936,000.15 : 305,101,404,000.22 = 203,400,936,000.15 : x
  2. Step 2: Convert to fraction form
    203,400,936,000.15/305,101,404,000.22 = 203,400,936,000.15/x
  3. Step 3: Cross multiply
    203,400,936,000.15x = 305,101,404,000.22 × 203,400,936,000.15
  4. Step 4: Simplify right side
    203,400,936,000.15x = 62,057,911,148,604,645,441,536
  5. Step 5: Solve for x
    x = 62,057,911,148,604,645,441,536/203,400,936,000.15
  6. Step 6: Final answer
    x = 305,101,404,000.22

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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.