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Finding the Fourth Proportional to 223,723,852.80, 335,018,908.80 and 178,374,220.80

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Solution

The fourth proportional to 223,723,852.80, 335,018,908.80 and 178,374,220.80 is: 267,109,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,723,852.80 : 335,018,908.80 = 178,374,220.80 : x
  2. Step 2: Convert to fraction form
    223,723,852.80/335,018,908.80 = 178,374,220.80/x
  3. Step 3: Cross multiply
    223,723,852.80x = 335,018,908.80 × 178,374,220.80
  4. Step 4: Simplify right side
    223,723,852.80x = 59,758,736,810,466,272
  5. Step 5: Solve for x
    x = 59,758,736,810,466,272/223,723,852.80
  6. Step 6: Final answer
    x = 267,109,367.47

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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.