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Finding the Fourth Proportional to 268,646,816.80, 402,298,378.80 and 214,899,104.80

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Solution

The fourth proportional to 268,646,816.80, 402,298,378.80 and 214,899,104.80 is: 321,811,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,646,816.80 : 402,298,378.80 = 214,899,104.80 : x
  2. Step 2: Convert to fraction form
    268,646,816.80/402,298,378.80 = 214,899,104.80/x
  3. Step 3: Cross multiply
    268,646,816.80x = 402,298,378.80 × 214,899,104.80
  4. Step 4: Simplify right side
    268,646,816.80x = 86,453,561,466,611,312
  5. Step 5: Solve for x
    x = 86,453,561,466,611,312/268,646,816.80
  6. Step 6: Final answer
    x = 321,811,225.97

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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.