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Finding the Fourth Proportional to 323,445,544.80, 484,837,642.80 and 159,431,042.40

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Solution

The fourth proportional to 323,445,544.80, 484,837,642.80 and 159,431,042.40 is: 238,983,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,445,544.80 : 484,837,642.80 = 159,431,042.40 : x
  2. Step 2: Convert to fraction form
    323,445,544.80/484,837,642.80 = 159,431,042.40/x
  3. Step 3: Cross multiply
    323,445,544.80x = 484,837,642.80 × 159,431,042.40
  4. Step 4: Simplify right side
    323,445,544.80x = 77,298,170,786,362,864
  5. Step 5: Solve for x
    x = 77,298,170,786,362,864/323,445,544.80
  6. Step 6: Final answer
    x = 238,983,569.35

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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.