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Finding the Fourth Proportional to 565,338,323.25, 848,007,794.70 and 258,415,202.52

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Solution

The fourth proportional to 565,338,323.25, 848,007,794.70 and 258,415,202.52 is: 387,622,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,338,323.25 : 848,007,794.70 = 258,415,202.52 : x
  2. Step 2: Convert to fraction form
    565,338,323.25/848,007,794.70 = 258,415,202.52/x
  3. Step 3: Cross multiply
    565,338,323.25x = 848,007,794.70 × 258,415,202.52
  4. Step 4: Simplify right side
    565,338,323.25x = 219,138,106,005,939,104
  5. Step 5: Solve for x
    x = 219,138,106,005,939,104/565,338,323.25
  6. Step 6: Final answer
    x = 387,622,945.40

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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.