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Finding the Fourth Proportional to 495,342,007.80, 743,013,011.70 and 204,059,195.70

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Solution

The fourth proportional to 495,342,007.80, 743,013,011.70 and 204,059,195.70 is: 306,088,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,342,007.80 : 743,013,011.70 = 204,059,195.70 : x
  2. Step 2: Convert to fraction form
    495,342,007.80/743,013,011.70 = 204,059,195.70/x
  3. Step 3: Cross multiply
    495,342,007.80x = 743,013,011.70 × 204,059,195.70
  4. Step 4: Simplify right side
    495,342,007.80x = 151,618,637,562,136,704
  5. Step 5: Solve for x
    x = 151,618,637,562,136,704/495,342,007.80
  6. Step 6: Final answer
    x = 306,088,793.55

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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.