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Finding the Fourth Proportional to 294,084,043.80, 441,126,065.70 and 132,840,907.80

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Solution

The fourth proportional to 294,084,043.80, 441,126,065.70 and 132,840,907.80 is: 199,261,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,084,043.80 : 441,126,065.70 = 132,840,907.80 : x
  2. Step 2: Convert to fraction form
    294,084,043.80/441,126,065.70 = 132,840,907.80/x
  3. Step 3: Cross multiply
    294,084,043.80x = 441,126,065.70 × 132,840,907.80
  4. Step 4: Simplify right side
    294,084,043.80x = 58,599,587,021,830,440
  5. Step 5: Solve for x
    x = 58,599,587,021,830,440/294,084,043.80
  6. Step 6: Final answer
    x = 199,261,361.70

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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.