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Finding the Fourth Proportional to 468,701,251.38, 646,806,558.69 and 259,852,017.78

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Solution

The fourth proportional to 468,701,251.38, 646,806,558.69 and 259,852,017.78 is: 358,595,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,701,251.38 : 646,806,558.69 = 259,852,017.78 : x
  2. Step 2: Convert to fraction form
    468,701,251.38/646,806,558.69 = 259,852,017.78/x
  3. Step 3: Cross multiply
    468,701,251.38x = 646,806,558.69 × 259,852,017.78
  4. Step 4: Simplify right side
    468,701,251.38x = 168,073,989,388,934,496
  5. Step 5: Solve for x
    x = 168,073,989,388,934,496/468,701,251.38
  6. Step 6: Final answer
    x = 358,595,136.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.