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Finding the Fourth Proportional to 301,298,416.80, 451,835,650.80 and 119,507,978.40

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Solution

The fourth proportional to 301,298,416.80, 451,835,650.80 and 119,507,978.40 is: 179,217,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,298,416.80 : 451,835,650.80 = 119,507,978.40 : x
  2. Step 2: Convert to fraction form
    301,298,416.80/451,835,650.80 = 119,507,978.40/x
  3. Step 3: Cross multiply
    301,298,416.80x = 451,835,650.80 × 119,507,978.40
  4. Step 4: Simplify right side
    301,298,416.80x = 53,997,965,196,156,344
  5. Step 5: Solve for x
    x = 53,997,965,196,156,344/301,298,416.80
  6. Step 6: Final answer
    x = 179,217,553.71

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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.