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Finding the Fourth Proportional to 552,116,651.60, 827,167,207.80 and 449,324,152.40

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Solution

The fourth proportional to 552,116,651.60, 827,167,207.80 and 449,324,152.40 is: 673,166,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,116,651.60 : 827,167,207.80 = 449,324,152.40 : x
  2. Step 2: Convert to fraction form
    552,116,651.60/827,167,207.80 = 449,324,152.40/x
  3. Step 3: Cross multiply
    552,116,651.60x = 827,167,207.80 × 449,324,152.40
  4. Step 4: Simplify right side
    552,116,651.60x = 371,666,204,537,809,600
  5. Step 5: Solve for x
    x = 371,666,204,537,809,600/552,116,651.60
  6. Step 6: Final answer
    x = 673,166,084.49

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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.