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Finding the Fourth Proportional to 402,893,999.80, 604,340,999.70 and 280,449,993.40

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Solution

The fourth proportional to 402,893,999.80, 604,340,999.70 and 280,449,993.40 is: 420,674,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,893,999.80 : 604,340,999.70 = 280,449,993.40 : x
  2. Step 2: Convert to fraction form
    402,893,999.80/604,340,999.70 = 280,449,993.40/x
  3. Step 3: Cross multiply
    402,893,999.80x = 604,340,999.70 × 280,449,993.40
  4. Step 4: Simplify right side
    402,893,999.80x = 169,487,429,377,214,400
  5. Step 5: Solve for x
    x = 169,487,429,377,214,400/402,893,999.80
  6. Step 6: Final answer
    x = 420,674,990.10

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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.