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Finding the Fourth Proportional to 189,451,090.20, 284,176,635.30 and 189,451,090.20

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Solution

The fourth proportional to 189,451,090.20, 284,176,635.30 and 189,451,090.20 is: 284,176,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,451,090.20 : 284,176,635.30 = 189,451,090.20 : x
  2. Step 2: Convert to fraction form
    189,451,090.20/284,176,635.30 = 189,451,090.20/x
  3. Step 3: Cross multiply
    189,451,090.20x = 284,176,635.30 × 189,451,090.20
  4. Step 4: Simplify right side
    189,451,090.20x = 53,837,573,366,952,800
  5. Step 5: Solve for x
    x = 53,837,573,366,952,800/189,451,090.20
  6. Step 6: Final answer
    x = 284,176,635.30

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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.