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Finding the Fourth Proportional to 255,744,769.20, 383,666,920.20 and 110,178,049.20

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Solution

The fourth proportional to 255,744,769.20, 383,666,920.20 and 110,178,049.20 is: 165,288,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744,769.20 : 383,666,920.20 = 110,178,049.20 : x
  2. Step 2: Convert to fraction form
    255,744,769.20/383,666,920.20 = 110,178,049.20/x
  3. Step 3: Cross multiply
    255,744,769.20x = 383,666,920.20 × 110,178,049.20
  4. Step 4: Simplify right side
    255,744,769.20x = 42,271,672,810,208,072
  5. Step 5: Solve for x
    x = 42,271,672,810,208,072/255,744,769.20
  6. Step 6: Final answer
    x = 165,288,513.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.