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Finding the Fourth Proportional to 905,486,596.20, 1,358,229,894.30 and 905,486,596.20

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Solution

The fourth proportional to 905,486,596.20, 1,358,229,894.30 and 905,486,596.20 is: 1,358,229,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,486,596.20 : 1,358,229,894.30 = 905,486,596.20 : x
  2. Step 2: Convert to fraction form
    905,486,596.20/1,358,229,894.30 = 905,486,596.20/x
  3. Step 3: Cross multiply
    905,486,596.20x = 1,358,229,894.30 × 905,486,596.20
  4. Step 4: Simplify right side
    905,486,596.20x = 1,229,858,963,846,792,704
  5. Step 5: Solve for x
    x = 1,229,858,963,846,792,704/905,486,596.20
  6. Step 6: Final answer
    x = 1,358,229,894.30

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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.