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Finding the Fourth Proportional to 577,372,229.70, 866,058,344.55 and 468,533,112.90

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Solution

The fourth proportional to 577,372,229.70, 866,058,344.55 and 468,533,112.90 is: 702,799,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,372,229.70 : 866,058,344.55 = 468,533,112.90 : x
  2. Step 2: Convert to fraction form
    577,372,229.70/866,058,344.55 = 468,533,112.90/x
  3. Step 3: Cross multiply
    577,372,229.70x = 866,058,344.55 × 468,533,112.90
  4. Step 4: Simplify right side
    577,372,229.70x = 405,777,012,125,032,192
  5. Step 5: Solve for x
    x = 405,777,012,125,032,192/577,372,229.70
  6. Step 6: Final answer
    x = 702,799,669.35

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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.