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Finding the Fourth Proportional to 463,201,410,273.60, 694,802,115,410.40 and 463,201,410,273.60

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Solution

The fourth proportional to 463,201,410,273.60, 694,802,115,410.40 and 463,201,410,273.60 is: 694,802,115,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,201,410,273.60 : 694,802,115,410.40 = 463,201,410,273.60 : x
  2. Step 2: Convert to fraction form
    463,201,410,273.60/694,802,115,410.40 = 463,201,410,273.60/x
  3. Step 3: Cross multiply
    463,201,410,273.60x = 694,802,115,410.40 × 463,201,410,273.60
  4. Step 4: Simplify right side
    463,201,410,273.60x = 321,833,319,719,177,872,736,256
  5. Step 5: Solve for x
    x = 321,833,319,719,177,872,736,256/463,201,410,273.60
  6. Step 6: Final answer
    x = 694,802,115,410.40

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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.