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Finding the Fourth Proportional to 3,858,254,857,205.40, 5,787,382,285,808.10 and 3,858,254,857,205.40

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Solution

The fourth proportional to 3,858,254,857,205.40, 5,787,382,285,808.10 and 3,858,254,857,205.40 is: 5,787,382,285,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858,254,857,205.40 : 5,787,382,285,808.10 = 3,858,254,857,205.40 : x
  2. Step 2: Convert to fraction form
    3,858,254,857,205.40/5,787,382,285,808.10 = 3,858,254,857,205.40/x
  3. Step 3: Cross multiply
    3,858,254,857,205.40x = 5,787,382,285,808.10 × 3,858,254,857,205.40
  4. Step 4: Simplify right side
    3,858,254,857,205.40x = 22,329,195,814,723,588,676,648,960
  5. Step 5: Solve for x
    x = 22,329,195,814,723,588,676,648,960/3,858,254,857,205.40
  6. Step 6: Final answer
    x = 5,787,382,285,808.10

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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.