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Finding the Fourth Proportional to 276,036,339.20, 413,702,839.20 and 146,705,907.20

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Solution

The fourth proportional to 276,036,339.20, 413,702,839.20 and 146,705,907.20 is: 219,871,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,036,339.20 : 413,702,839.20 = 146,705,907.20 : x
  2. Step 2: Convert to fraction form
    276,036,339.20/413,702,839.20 = 146,705,907.20/x
  3. Step 3: Cross multiply
    276,036,339.20x = 413,702,839.20 × 146,705,907.20
  4. Step 4: Simplify right side
    276,036,339.20x = 60,692,650,336,051,712
  5. Step 5: Solve for x
    x = 60,692,650,336,051,712/276,036,339.20
  6. Step 6: Final answer
    x = 219,871,957.84

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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.