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Finding the Fourth Proportional to 318,978,376.40, 478,467,564.60 and 271,361,262.80

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Solution

The fourth proportional to 318,978,376.40, 478,467,564.60 and 271,361,262.80 is: 407,041,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,978,376.40 : 478,467,564.60 = 271,361,262.80 : x
  2. Step 2: Convert to fraction form
    318,978,376.40/478,467,564.60 = 271,361,262.80/x
  3. Step 3: Cross multiply
    318,978,376.40x = 478,467,564.60 × 271,361,262.80
  4. Step 4: Simplify right side
    318,978,376.40x = 129,837,562,538,696,592
  5. Step 5: Solve for x
    x = 129,837,562,538,696,592/318,978,376.40
  6. Step 6: Final answer
    x = 407,041,894.20

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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.