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Finding the Fourth Proportional to 308,800,940,179.15, 463,201,410,268.73 and 308,800,940,179.15

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Solution

The fourth proportional to 308,800,940,179.15, 463,201,410,268.73 and 308,800,940,179.15 is: 463,201,410,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,800,940,179.15 : 463,201,410,268.73 = 308,800,940,179.15 : x
  2. Step 2: Convert to fraction form
    308,800,940,179.15/463,201,410,268.73 = 308,800,940,179.15/x
  3. Step 3: Cross multiply
    308,800,940,179.15x = 463,201,410,268.73 × 308,800,940,179.15
  4. Step 4: Simplify right side
    308,800,940,179.15x = 143,037,030,983,292,009,054,208
  5. Step 5: Solve for x
    x = 143,037,030,983,292,009,054,208/308,800,940,179.15
  6. Step 6: Final answer
    x = 463,201,410,268.73

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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.