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Finding the Fourth Proportional to 524,288,446.92, 786,560,711.67 and 174,533,838.66

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Solution

The fourth proportional to 524,288,446.92, 786,560,711.67 and 174,533,838.66 is: 261,843,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,288,446.92 : 786,560,711.67 = 174,533,838.66 : x
  2. Step 2: Convert to fraction form
    524,288,446.92/786,560,711.67 = 174,533,838.66/x
  3. Step 3: Cross multiply
    524,288,446.92x = 786,560,711.67 × 174,533,838.66
  4. Step 4: Simplify right side
    524,288,446.92x = 137,281,460,346,906,544
  5. Step 5: Solve for x
    x = 137,281,460,346,906,544/524,288,446.92
  6. Step 6: Final answer
    x = 261,843,382.50

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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.