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Finding the Fourth Proportional to 436,676,543,453.80, 655,014,815,180.70 and 436,676,543,453.80

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Solution

The fourth proportional to 436,676,543,453.80, 655,014,815,180.70 and 436,676,543,453.80 is: 655,014,815,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,676,543,453.80 : 655,014,815,180.70 = 436,676,543,453.80 : x
  2. Step 2: Convert to fraction form
    436,676,543,453.80/655,014,815,180.70 = 436,676,543,453.80/x
  3. Step 3: Cross multiply
    436,676,543,453.80x = 655,014,815,180.70 × 436,676,543,453.80
  4. Step 4: Simplify right side
    436,676,543,453.80x = 286,029,605,404,137,696,002,048
  5. Step 5: Solve for x
    x = 286,029,605,404,137,696,002,048/436,676,543,453.80
  6. Step 6: Final answer
    x = 655,014,815,180.70

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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.