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Finding the Fourth Proportional to 319,857,856.06, 479,786,783.28 and 77,520,760.06

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Solution

The fourth proportional to 319,857,856.06, 479,786,783.28 and 77,520,760.06 is: 116,281,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,857,856.06 : 479,786,783.28 = 77,520,760.06 : x
  2. Step 2: Convert to fraction form
    319,857,856.06/479,786,783.28 = 77,520,760.06/x
  3. Step 3: Cross multiply
    319,857,856.06x = 479,786,783.28 × 77,520,760.06
  4. Step 4: Simplify right side
    319,857,856.06x = 37,193,436,106,608,096
  5. Step 5: Solve for x
    x = 37,193,436,106,608,096/319,857,856.06
  6. Step 6: Final answer
    x = 116,281,139.89

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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.