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Finding the Fourth Proportional to 369,866,538.75, 510,222,310.44 and 228,692,631.27

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Solution

The fourth proportional to 369,866,538.75, 510,222,310.44 and 228,692,631.27 is: 315,476,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,866,538.75 : 510,222,310.44 = 228,692,631.27 : x
  2. Step 2: Convert to fraction form
    369,866,538.75/510,222,310.44 = 228,692,631.27/x
  3. Step 3: Cross multiply
    369,866,538.75x = 510,222,310.44 × 228,692,631.27
  4. Step 4: Simplify right side
    369,866,538.75x = 116,684,082,708,238,128
  5. Step 5: Solve for x
    x = 116,684,082,708,238,128/369,866,538.75
  6. Step 6: Final answer
    x = 315,476,179.87

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Why These Related Problems?

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