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Finding the Fourth Proportional to 531,472,513.70, 797,208,770.55 and 511,065,179.30

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Solution

The fourth proportional to 531,472,513.70, 797,208,770.55 and 511,065,179.30 is: 766,597,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,472,513.70 : 797,208,770.55 = 511,065,179.30 : x
  2. Step 2: Convert to fraction form
    531,472,513.70/797,208,770.55 = 511,065,179.30/x
  3. Step 3: Cross multiply
    531,472,513.70x = 797,208,770.55 × 511,065,179.30
  4. Step 4: Simplify right side
    531,472,513.70x = 407,425,643,260,668,288
  5. Step 5: Solve for x
    x = 407,425,643,260,668,288/531,472,513.70
  6. Step 6: Final answer
    x = 766,597,768.95

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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.