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Finding the Fourth Proportional to 708,463,778.08, 978,033,971.32 and 440,625,942.33

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Solution

The fourth proportional to 708,463,778.08, 978,033,971.32 and 440,625,942.33 is: 608,283,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,463,778.08 : 978,033,971.32 = 440,625,942.33 : x
  2. Step 2: Convert to fraction form
    708,463,778.08/978,033,971.32 = 440,625,942.33/x
  3. Step 3: Cross multiply
    708,463,778.08x = 978,033,971.32 × 440,625,942.33
  4. Step 4: Simplify right side
    708,463,778.08x = 430,947,140,242,525,632
  5. Step 5: Solve for x
    x = 430,947,140,242,525,632/708,463,778.08
  6. Step 6: Final answer
    x = 608,283,942.78

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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.