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Finding the Fourth Proportional to 664,039,751.40, 996,059,627.10 and 204,000,802.20

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Solution

The fourth proportional to 664,039,751.40, 996,059,627.10 and 204,000,802.20 is: 306,001,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,039,751.40 : 996,059,627.10 = 204,000,802.20 : x
  2. Step 2: Convert to fraction form
    664,039,751.40/996,059,627.10 = 204,000,802.20/x
  3. Step 3: Cross multiply
    664,039,751.40x = 996,059,627.10 × 204,000,802.20
  4. Step 4: Simplify right side
    664,039,751.40x = 203,196,962,967,432,864
  5. Step 5: Solve for x
    x = 203,196,962,967,432,864/664,039,751.40
  6. Step 6: Final answer
    x = 306,001,203.30

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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.