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Finding the Fourth Proportional to 308,800,940,180.15, 463,201,410,270.23 and 308,800,940,180.15

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Solution

The fourth proportional to 308,800,940,180.15, 463,201,410,270.23 and 308,800,940,180.15 is: 463,201,410,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,800,940,180.15 : 463,201,410,270.23 = 308,800,940,180.15 : x
  2. Step 2: Convert to fraction form
    308,800,940,180.15/463,201,410,270.23 = 308,800,940,180.15/x
  3. Step 3: Cross multiply
    308,800,940,180.15x = 463,201,410,270.23 × 308,800,940,180.15
  4. Step 4: Simplify right side
    308,800,940,180.15x = 143,037,030,984,218,413,367,296
  5. Step 5: Solve for x
    x = 143,037,030,984,218,413,367,296/308,800,940,180.15
  6. Step 6: Final answer
    x = 463,201,410,270.23

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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.