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Finding the Fourth Proportional to 705,722,172, 1,058,407,260.08 and 207,633,574.32

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Solution

The fourth proportional to 705,722,172, 1,058,407,260.08 and 207,633,574.32 is: 311,398,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,722,172 : 1,058,407,260.08 = 207,633,574.32 : x
  2. Step 2: Convert to fraction form
    705,722,172/1,058,407,260.08 = 207,633,574.32/x
  3. Step 3: Cross multiply
    705,722,172x = 1,058,407,260.08 × 207,633,574.32
  4. Step 4: Simplify right side
    705,722,172x = 219,760,882,496,648,256
  5. Step 5: Solve for x
    x = 219,760,882,496,648,256/705,722,172
  6. Step 6: Final answer
    x = 311,398,580.37

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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.