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Finding the Fourth Proportional to 325,873,116.80, 488,809,675.20 and 289,593,411.20

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Solution

The fourth proportional to 325,873,116.80, 488,809,675.20 and 289,593,411.20 is: 434,390,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,873,116.80 : 488,809,675.20 = 289,593,411.20 : x
  2. Step 2: Convert to fraction form
    325,873,116.80/488,809,675.20 = 289,593,411.20/x
  3. Step 3: Cross multiply
    325,873,116.80x = 488,809,675.20 × 289,593,411.20
  4. Step 4: Simplify right side
    325,873,116.80x = 141,556,061,268,732,032
  5. Step 5: Solve for x
    x = 141,556,061,268,732,032/325,873,116.80
  6. Step 6: Final answer
    x = 434,390,116.80

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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.