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Finding the Fourth Proportional to 435,967,145,404.80, 653,950,718,107.20 and 435,967,145,404.80

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Solution

The fourth proportional to 435,967,145,404.80, 653,950,718,107.20 and 435,967,145,404.80 is: 653,950,718,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,967,145,404.80 : 653,950,718,107.20 = 435,967,145,404.80 : x
  2. Step 2: Convert to fraction form
    435,967,145,404.80/653,950,718,107.20 = 435,967,145,404.80/x
  3. Step 3: Cross multiply
    435,967,145,404.80x = 653,950,718,107.20 × 435,967,145,404.80
  4. Step 4: Simplify right side
    435,967,145,404.80x = 285,101,027,808,615,010,926,592
  5. Step 5: Solve for x
    x = 285,101,027,808,615,010,926,592/435,967,145,404.80
  6. Step 6: Final answer
    x = 653,950,718,107.20

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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.