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Finding the Fourth Proportional to 488,797,800.40, 734,047,006.20 and 259,215,288.40

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Solution

The fourth proportional to 488,797,800.40, 734,047,006.20 and 259,215,288.40 is: 389,273,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,797,800.40 : 734,047,006.20 = 259,215,288.40 : x
  2. Step 2: Convert to fraction form
    488,797,800.40/734,047,006.20 = 259,215,288.40/x
  3. Step 3: Cross multiply
    488,797,800.40x = 734,047,006.20 × 259,215,288.40
  4. Step 4: Simplify right side
    488,797,800.40x = 190,276,206,411,289,600
  5. Step 5: Solve for x
    x = 190,276,206,411,289,600/488,797,800.40
  6. Step 6: Final answer
    x = 389,273,859.78

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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.