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Finding the Fourth Proportional to 323,007,946.80, 484,511,920.20 and 186,959,050.80

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Solution

The fourth proportional to 323,007,946.80, 484,511,920.20 and 186,959,050.80 is: 280,438,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,007,946.80 : 484,511,920.20 = 186,959,050.80 : x
  2. Step 2: Convert to fraction form
    323,007,946.80/484,511,920.20 = 186,959,050.80/x
  3. Step 3: Cross multiply
    323,007,946.80x = 484,511,920.20 × 186,959,050.80
  4. Step 4: Simplify right side
    323,007,946.80x = 90,583,888,701,877,344
  5. Step 5: Solve for x
    x = 90,583,888,701,877,344/323,007,946.80
  6. Step 6: Final answer
    x = 280,438,576.20

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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.