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Finding the Fourth Proportional to 281,468,959,542.60, 422,203,439,313.90 and 281,468,959,542.60

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Solution

The fourth proportional to 281,468,959,542.60, 422,203,439,313.90 and 281,468,959,542.60 is: 422,203,439,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,468,959,542.60 : 422,203,439,313.90 = 281,468,959,542.60 : x
  2. Step 2: Convert to fraction form
    281,468,959,542.60/422,203,439,313.90 = 281,468,959,542.60/x
  3. Step 3: Cross multiply
    281,468,959,542.60x = 422,203,439,313.90 × 281,468,959,542.60
  4. Step 4: Simplify right side
    281,468,959,542.60x = 118,837,162,778,990,695,415,808
  5. Step 5: Solve for x
    x = 118,837,162,778,990,695,415,808/281,468,959,542.60
  6. Step 6: Final answer
    x = 422,203,439,313.90

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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.