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Finding the Fourth Proportional to 402,410,676.80, 603,616,015.20 and 218,744,667.20

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Solution

The fourth proportional to 402,410,676.80, 603,616,015.20 and 218,744,667.20 is: 328,117,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410,676.80 : 603,616,015.20 = 218,744,667.20 : x
  2. Step 2: Convert to fraction form
    402,410,676.80/603,616,015.20 = 218,744,667.20/x
  3. Step 3: Cross multiply
    402,410,676.80x = 603,616,015.20 × 218,744,667.20
  4. Step 4: Simplify right side
    402,410,676.80x = 132,037,784,361,514,144
  5. Step 5: Solve for x
    x = 132,037,784,361,514,144/402,410,676.80
  6. Step 6: Final answer
    x = 328,117,000.80

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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.