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Finding the Fourth Proportional to 275,885,459,318.60, 413,828,188,977.90 and 275,885,459,318.60

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Solution

The fourth proportional to 275,885,459,318.60, 413,828,188,977.90 and 275,885,459,318.60 is: 413,828,188,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,885,459,318.60 : 413,828,188,977.90 = 275,885,459,318.60 : x
  2. Step 2: Convert to fraction form
    275,885,459,318.60/413,828,188,977.90 = 275,885,459,318.60/x
  3. Step 3: Cross multiply
    275,885,459,318.60x = 413,828,188,977.90 × 275,885,459,318.60
  4. Step 4: Simplify right side
    275,885,459,318.60x = 114,169,179,995,152,343,629,824
  5. Step 5: Solve for x
    x = 114,169,179,995,152,343,629,824/275,885,459,318.60
  6. Step 6: Final answer
    x = 413,828,188,977.90

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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.