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Finding the Fourth Proportional to 16,297,848,447.40, 24,446,772,671.10 and 16,297,848,447.40

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Solution

The fourth proportional to 16,297,848,447.40, 24,446,772,671.10 and 16,297,848,447.40 is: 24,446,772,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297,848,447.40 : 24,446,772,671.10 = 16,297,848,447.40 : x
  2. Step 2: Convert to fraction form
    16,297,848,447.40/24,446,772,671.10 = 16,297,848,447.40/x
  3. Step 3: Cross multiply
    16,297,848,447.40x = 24,446,772,671.10 × 16,297,848,447.40
  4. Step 4: Simplify right side
    16,297,848,447.40x = 398,429,796,021,627,846,656
  5. Step 5: Solve for x
    x = 398,429,796,021,627,846,656/16,297,848,447.40
  6. Step 6: Final answer
    x = 24,446,772,671.10

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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.