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Finding the Fourth Proportional to 301,917,607.20, 452,876,410.80 and 193,078,490.40

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Solution

The fourth proportional to 301,917,607.20, 452,876,410.80 and 193,078,490.40 is: 289,617,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,917,607.20 : 452,876,410.80 = 193,078,490.40 : x
  2. Step 2: Convert to fraction form
    301,917,607.20/452,876,410.80 = 193,078,490.40/x
  3. Step 3: Cross multiply
    301,917,607.20x = 452,876,410.80 × 193,078,490.40
  4. Step 4: Simplify right side
    301,917,607.20x = 87,440,693,735,034,256
  5. Step 5: Solve for x
    x = 87,440,693,735,034,256/301,917,607.20
  6. Step 6: Final answer
    x = 289,617,735.60

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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.