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Finding the Fourth Proportional to 135,600,624,000.10, 203,400,936,000.15 and 135,600,624,000.10

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Solution

The fourth proportional to 135,600,624,000.10, 203,400,936,000.15 and 135,600,624,000.10 is: 203,400,936,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,600,624,000.10 : 203,400,936,000.15 = 135,600,624,000.10 : x
  2. Step 2: Convert to fraction form
    135,600,624,000.10/203,400,936,000.15 = 135,600,624,000.10/x
  3. Step 3: Cross multiply
    135,600,624,000.10x = 203,400,936,000.15 × 135,600,624,000.10
  4. Step 4: Simplify right side
    135,600,624,000.10x = 27,581,293,843,824,745,906,176
  5. Step 5: Solve for x
    x = 27,581,293,843,824,745,906,176/135,600,624,000.10
  6. Step 6: Final answer
    x = 203,400,936,000.15

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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.