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Finding the Fourth Proportional to 531,877,930.56, 734,187,407.16 and 320,194,600.26

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Solution

The fourth proportional to 531,877,930.56, 734,187,407.16 and 320,194,600.26 is: 441,986,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,877,930.56 : 734,187,407.16 = 320,194,600.26 : x
  2. Step 2: Convert to fraction form
    531,877,930.56/734,187,407.16 = 320,194,600.26/x
  3. Step 3: Cross multiply
    531,877,930.56x = 734,187,407.16 × 320,194,600.26
  4. Step 4: Simplify right side
    531,877,930.56x = 235,082,843,351,522,048
  5. Step 5: Solve for x
    x = 235,082,843,351,522,048/531,877,930.56
  6. Step 6: Final answer
    x = 441,986,459.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.