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Finding the Fourth Proportional to 275,593,362.40, 413,390,043.60 and 137,843,855.20

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Solution

The fourth proportional to 275,593,362.40, 413,390,043.60 and 137,843,855.20 is: 206,765,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,593,362.40 : 413,390,043.60 = 137,843,855.20 : x
  2. Step 2: Convert to fraction form
    275,593,362.40/413,390,043.60 = 137,843,855.20/x
  3. Step 3: Cross multiply
    275,593,362.40x = 413,390,043.60 × 137,843,855.20
  4. Step 4: Simplify right side
    275,593,362.40x = 56,983,277,311,120,088
  5. Step 5: Solve for x
    x = 56,983,277,311,120,088/275,593,362.40
  6. Step 6: Final answer
    x = 206,765,782.80

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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.