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Finding the Fourth Proportional to 16,582,477,930.40, 24,873,716,895.60 and 16,582,477,930.40

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Solution

The fourth proportional to 16,582,477,930.40, 24,873,716,895.60 and 16,582,477,930.40 is: 24,873,716,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582,477,930.40 : 24,873,716,895.60 = 16,582,477,930.40 : x
  2. Step 2: Convert to fraction form
    16,582,477,930.40/24,873,716,895.60 = 16,582,477,930.40/x
  3. Step 3: Cross multiply
    16,582,477,930.40x = 24,873,716,895.60 × 16,582,477,930.40
  4. Step 4: Simplify right side
    16,582,477,930.40x = 412,467,861,468,304,572,416
  5. Step 5: Solve for x
    x = 412,467,861,468,304,572,416/16,582,477,930.40
  6. Step 6: Final answer
    x = 24,873,716,895.60

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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.