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Finding the Fourth Proportional to 6,412,285,846.80, 9,603,123,269.40 and 6,412,285,846.80

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Solution

The fourth proportional to 6,412,285,846.80, 9,603,123,269.40 and 6,412,285,846.80 is: 9,603,123,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412,285,846.80 : 9,603,123,269.40 = 6,412,285,846.80 : x
  2. Step 2: Convert to fraction form
    6,412,285,846.80/9,603,123,269.40 = 6,412,285,846.80/x
  3. Step 3: Cross multiply
    6,412,285,846.80x = 9,603,123,269.40 × 6,412,285,846.80
  4. Step 4: Simplify right side
    6,412,285,846.80x = 61,577,971,425,449,361,408
  5. Step 5: Solve for x
    x = 61,577,971,425,449,361,408/6,412,285,846.80
  6. Step 6: Final answer
    x = 9,603,123,269.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.