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Finding the Fourth Proportional to 189,168,541.20, 283,752,811.80 and 189,168,541.20

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Solution

The fourth proportional to 189,168,541.20, 283,752,811.80 and 189,168,541.20 is: 283,752,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,168,541.20 : 283,752,811.80 = 189,168,541.20 : x
  2. Step 2: Convert to fraction form
    189,168,541.20/283,752,811.80 = 189,168,541.20/x
  3. Step 3: Cross multiply
    189,168,541.20x = 283,752,811.80 × 189,168,541.20
  4. Step 4: Simplify right side
    189,168,541.20x = 53,677,105,469,604,144
  5. Step 5: Solve for x
    x = 53,677,105,469,604,144/189,168,541.20
  6. Step 6: Final answer
    x = 283,752,811.80

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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.