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Finding the Fourth Proportional to 436,747,966,473.20, 655,121,949,709.80 and 436,747,966,473.20

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Solution

The fourth proportional to 436,747,966,473.20, 655,121,949,709.80 and 436,747,966,473.20 is: 655,121,949,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,747,966,473.20 : 655,121,949,709.80 = 436,747,966,473.20 : x
  2. Step 2: Convert to fraction form
    436,747,966,473.20/655,121,949,709.80 = 436,747,966,473.20/x
  3. Step 3: Cross multiply
    436,747,966,473.20x = 655,121,949,709.80 × 436,747,966,473.20
  4. Step 4: Simplify right side
    436,747,966,473.20x = 286,123,179,327,713,175,404,544
  5. Step 5: Solve for x
    x = 286,123,179,327,713,175,404,544/436,747,966,473.20
  6. Step 6: Final answer
    x = 655,121,949,709.80

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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.