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Finding the Fourth Proportional to 275,483,574.65, 380,194,185.88 and 205,747,886.63

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Solution

The fourth proportional to 275,483,574.65, 380,194,185.88 and 205,747,886.63 is: 283,952,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,483,574.65 : 380,194,185.88 = 205,747,886.63 : x
  2. Step 2: Convert to fraction form
    275,483,574.65/380,194,185.88 = 205,747,886.63/x
  3. Step 3: Cross multiply
    275,483,574.65x = 380,194,185.88 × 205,747,886.63
  4. Step 4: Simplify right side
    275,483,574.65x = 78,224,150,255,031,056
  5. Step 5: Solve for x
    x = 78,224,150,255,031,056/275,483,574.65
  6. Step 6: Final answer
    x = 283,952,138.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.