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Finding the Fourth Proportional to 488,798,717.40, 734,048,381.70 and 259,216,205.40

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Solution

The fourth proportional to 488,798,717.40, 734,048,381.70 and 259,216,205.40 is: 389,275,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,798,717.40 : 734,048,381.70 = 259,216,205.40 : x
  2. Step 2: Convert to fraction form
    488,798,717.40/734,048,381.70 = 259,216,205.40/x
  3. Step 3: Cross multiply
    488,798,717.40x = 734,048,381.70 × 259,216,205.40
  4. Step 4: Simplify right side
    488,798,717.40x = 190,277,236,084,284,832
  5. Step 5: Solve for x
    x = 190,277,236,084,284,832/488,798,717.40
  6. Step 6: Final answer
    x = 389,275,236.02

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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.