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Finding the Fourth Proportional to 397,461,626, 596,192,439 and 110,247,290

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Solution

The fourth proportional to 397,461,626, 596,192,439 and 110,247,290 is: 165,370,935

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,461,626 : 596,192,439 = 110,247,290 : x
  2. Step 2: Convert to fraction form
    397,461,626/596,192,439 = 110,247,290/x
  3. Step 3: Cross multiply
    397,461,626x = 596,192,439 × 110,247,290
  4. Step 4: Simplify right side
    397,461,626x = 65,728,600,718,240,312
  5. Step 5: Solve for x
    x = 65,728,600,718,240,312/397,461,626
  6. Step 6: Final answer
    x = 165,370,935

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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.