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Finding the Fourth Proportional to 341,368,097.57, 511,844,794.32 and 133,857,908.01

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Solution

The fourth proportional to 341,368,097.57, 511,844,794.32 and 133,857,908.01 is: 200,705,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,368,097.57 : 511,844,794.32 = 133,857,908.01 : x
  2. Step 2: Convert to fraction form
    341,368,097.57/511,844,794.32 = 133,857,908.01/x
  3. Step 3: Cross multiply
    341,368,097.57x = 511,844,794.32 × 133,857,908.01
  4. Step 4: Simplify right side
    341,368,097.57x = 68,514,473,392,981,968
  5. Step 5: Solve for x
    x = 68,514,473,392,981,968/341,368,097.57
  6. Step 6: Final answer
    x = 200,705,554.74

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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.