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Finding the Fourth Proportional to 267,552,635.80, 401,328,953.70 and 213,804,923.80

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Solution

The fourth proportional to 267,552,635.80, 401,328,953.70 and 213,804,923.80 is: 320,707,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,552,635.80 : 401,328,953.70 = 213,804,923.80 : x
  2. Step 2: Convert to fraction form
    267,552,635.80/401,328,953.70 = 213,804,923.80/x
  3. Step 3: Cross multiply
    267,552,635.80x = 401,328,953.70 × 213,804,923.80
  4. Step 4: Simplify right side
    267,552,635.80x = 85,806,106,364,562,224
  5. Step 5: Solve for x
    x = 85,806,106,364,562,224/267,552,635.80
  6. Step 6: Final answer
    x = 320,707,385.70

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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.