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Finding the Fourth Proportional to 16,331,098,666.60, 24,496,647,999.90 and 16,331,098,666.60

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Solution

The fourth proportional to 16,331,098,666.60, 24,496,647,999.90 and 16,331,098,666.60 is: 24,496,647,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331,098,666.60 : 24,496,647,999.90 = 16,331,098,666.60 : x
  2. Step 2: Convert to fraction form
    16,331,098,666.60/24,496,647,999.90 = 16,331,098,666.60/x
  3. Step 3: Cross multiply
    16,331,098,666.60x = 24,496,647,999.90 × 16,331,098,666.60
  4. Step 4: Simplify right side
    16,331,098,666.60x = 400,057,175,487,336,480,768
  5. Step 5: Solve for x
    x = 400,057,175,487,336,480,768/16,331,098,666.60
  6. Step 6: Final answer
    x = 24,496,647,999.90

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1.5x scale

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.