Home / 409,725,109,058.70-565,398,250,066.20-224,290,945,589.10

Finding the Fourth Proportional to 409,725,109,058.70, 565,398,250,066.20 and 224,290,945,589.10

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Solution

The fourth proportional to 409,725,109,058.70, 565,398,250,066.20 and 224,290,945,589.10 is: 309,509,242,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,725,109,058.70 : 565,398,250,066.20 = 224,290,945,589.10 : x
  2. Step 2: Convert to fraction form
    409,725,109,058.70/565,398,250,066.20 = 224,290,945,589.10/x
  3. Step 3: Cross multiply
    409,725,109,058.70x = 565,398,250,066.20 × 224,290,945,589.10
  4. Step 4: Simplify right side
    409,725,109,058.70x = 126,813,708,141,770,406,100,992
  5. Step 5: Solve for x
    x = 126,813,708,141,770,406,100,992/409,725,109,058.70
  6. Step 6: Final answer
    x = 309,509,242,509.23

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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.