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Finding the Fourth Proportional to 299,075,416.80, 449,075,019.60 and 163,026,520.80

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Solution

The fourth proportional to 299,075,416.80, 449,075,019.60 and 163,026,520.80 is: 244,791,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,075,416.80 : 449,075,019.60 = 163,026,520.80 : x
  2. Step 2: Convert to fraction form
    299,075,416.80/449,075,019.60 = 163,026,520.80/x
  3. Step 3: Cross multiply
    299,075,416.80x = 449,075,019.60 × 163,026,520.80
  4. Step 4: Simplify right side
    299,075,416.80x = 73,211,138,023,579,824
  5. Step 5: Solve for x
    x = 73,211,138,023,579,824/299,075,416.80
  6. Step 6: Final answer
    x = 244,791,560.63

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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.