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Finding the Fourth Proportional to 381,609,203.20, 572,413,804.80 and 260,676,851.20

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Solution

The fourth proportional to 381,609,203.20, 572,413,804.80 and 260,676,851.20 is: 391,015,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,609,203.20 : 572,413,804.80 = 260,676,851.20 : x
  2. Step 2: Convert to fraction form
    381,609,203.20/572,413,804.80 = 260,676,851.20/x
  3. Step 3: Cross multiply
    381,609,203.20x = 572,413,804.80 × 260,676,851.20
  4. Step 4: Simplify right side
    381,609,203.20x = 149,215,028,218,675,424
  5. Step 5: Solve for x
    x = 149,215,028,218,675,424/381,609,203.20
  6. Step 6: Final answer
    x = 391,015,276.80

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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.