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Finding the Fourth Proportional to 16,590,976,919.20, 24,886,465,378.80 and 16,590,976,919.20

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Solution

The fourth proportional to 16,590,976,919.20, 24,886,465,378.80 and 16,590,976,919.20 is: 24,886,465,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590,976,919.20 : 24,886,465,378.80 = 16,590,976,919.20 : x
  2. Step 2: Convert to fraction form
    16,590,976,919.20/24,886,465,378.80 = 16,590,976,919.20/x
  3. Step 3: Cross multiply
    16,590,976,919.20x = 24,886,465,378.80 × 16,590,976,919.20
  4. Step 4: Simplify right side
    16,590,976,919.20x = 412,890,772,700,140,666,880
  5. Step 5: Solve for x
    x = 412,890,772,700,140,666,880/16,590,976,919.20
  6. Step 6: Final answer
    x = 24,886,465,378.80

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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.