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Finding the Fourth Proportional to 565,338,324.25, 848,007,796.20 and 258,415,203.52

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Solution

The fourth proportional to 565,338,324.25, 848,007,796.20 and 258,415,203.52 is: 387,622,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,338,324.25 : 848,007,796.20 = 258,415,203.52 : x
  2. Step 2: Convert to fraction form
    565,338,324.25/848,007,796.20 = 258,415,203.52/x
  3. Step 3: Cross multiply
    565,338,324.25x = 848,007,796.20 × 258,415,203.52
  4. Step 4: Simplify right side
    565,338,324.25x = 219,138,107,241,569,696
  5. Step 5: Solve for x
    x = 219,138,107,241,569,696/565,338,324.25
  6. Step 6: Final answer
    x = 387,622,946.90

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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.