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Finding the Fourth Proportional to 402,439,820.80, 603,659,731.20 and 402,439,820.80

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Solution

The fourth proportional to 402,439,820.80, 603,659,731.20 and 402,439,820.80 is: 603,659,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,439,820.80 : 603,659,731.20 = 402,439,820.80 : x
  2. Step 2: Convert to fraction form
    402,439,820.80/603,659,731.20 = 402,439,820.80/x
  3. Step 3: Cross multiply
    402,439,820.80x = 603,659,731.20 × 402,439,820.80
  4. Step 4: Simplify right side
    402,439,820.80x = 242,936,714,048,304,192
  5. Step 5: Solve for x
    x = 242,936,714,048,304,192/402,439,820.80
  6. Step 6: Final answer
    x = 603,659,731.20

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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.