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Finding the Fourth Proportional to 938,957,832,145.20, 1,408,436,748,217.80 and 938,957,832,145.20

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Solution

The fourth proportional to 938,957,832,145.20, 1,408,436,748,217.80 and 938,957,832,145.20 is: 1,408,436,748,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,957,832,145.20 : 1,408,436,748,217.80 = 938,957,832,145.20 : x
  2. Step 2: Convert to fraction form
    938,957,832,145.20/1,408,436,748,217.80 = 938,957,832,145.20/x
  3. Step 3: Cross multiply
    938,957,832,145.20x = 1,408,436,748,217.80 × 938,957,832,145.20
  4. Step 4: Simplify right side
    938,957,832,145.20x = 1,322,462,715,820,220,321,103,872
  5. Step 5: Solve for x
    x = 1,322,462,715,820,220,321,103,872/938,957,832,145.20
  6. Step 6: Final answer
    x = 1,408,436,748,217.80

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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.