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Finding the Fourth Proportional to 295,489,343.20, 443,234,014.80 and 159,440,447.20

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Solution

The fourth proportional to 295,489,343.20, 443,234,014.80 and 159,440,447.20 is: 239,160,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,489,343.20 : 443,234,014.80 = 159,440,447.20 : x
  2. Step 2: Convert to fraction form
    295,489,343.20/443,234,014.80 = 159,440,447.20/x
  3. Step 3: Cross multiply
    295,489,343.20x = 443,234,014.80 × 159,440,447.20
  4. Step 4: Simplify right side
    295,489,343.20x = 70,669,429,533,963,416
  5. Step 5: Solve for x
    x = 70,669,429,533,963,416/295,489,343.20
  6. Step 6: Final answer
    x = 239,160,670.80

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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.