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Finding the Fourth Proportional to 704,857,997.00, 972,647,091.82 and 407,519,400.81

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Solution

The fourth proportional to 704,857,997.00, 972,647,091.82 and 407,519,400.81 is: 562,343,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,857,997.00 : 972,647,091.82 = 407,519,400.81 : x
  2. Step 2: Convert to fraction form
    704,857,997.00/972,647,091.82 = 407,519,400.81/x
  3. Step 3: Cross multiply
    704,857,997.00x = 972,647,091.82 × 407,519,400.81
  4. Step 4: Simplify right side
    704,857,997.00x = 396,372,560,062,232,320
  5. Step 5: Solve for x
    x = 396,372,560,062,232,320/704,857,997.00
  6. Step 6: Final answer
    x = 562,343,850.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.