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Finding the Fourth Proportional to 323,444,728.80, 484,836,418.80 and 159,430,226.40

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Solution

The fourth proportional to 323,444,728.80, 484,836,418.80 and 159,430,226.40 is: 238,982,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,444,728.80 : 484,836,418.80 = 159,430,226.40 : x
  2. Step 2: Convert to fraction form
    323,444,728.80/484,836,418.80 = 159,430,226.40/x
  3. Step 3: Cross multiply
    323,444,728.80x = 484,836,418.80 × 159,430,226.40
  4. Step 4: Simplify right side
    323,444,728.80x = 77,297,580,016,249,216
  5. Step 5: Solve for x
    x = 77,297,580,016,249,216/323,444,728.80
  6. Step 6: Final answer
    x = 238,982,345.77

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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.