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Finding the Fourth Proportional to 482,322,668.80, 723,484,003.20 and 252,362,243.20

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Solution

The fourth proportional to 482,322,668.80, 723,484,003.20 and 252,362,243.20 is: 378,543,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,322,668.80 : 723,484,003.20 = 252,362,243.20 : x
  2. Step 2: Convert to fraction form
    482,322,668.80/723,484,003.20 = 252,362,243.20/x
  3. Step 3: Cross multiply
    482,322,668.80x = 723,484,003.20 × 252,362,243.20
  4. Step 4: Simplify right side
    482,322,668.80x = 182,580,045,966,867,968
  5. Step 5: Solve for x
    x = 182,580,045,966,867,968/482,322,668.80
  6. Step 6: Final answer
    x = 378,543,364.80

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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.