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Finding the Fourth Proportional to 531,468,019.20, 797,202,028.80 and 511,060,684.80

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Solution

The fourth proportional to 531,468,019.20, 797,202,028.80 and 511,060,684.80 is: 766,591,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,468,019.20 : 797,202,028.80 = 511,060,684.80 : x
  2. Step 2: Convert to fraction form
    531,468,019.20/797,202,028.80 = 511,060,684.80/x
  3. Step 3: Cross multiply
    531,468,019.20x = 797,202,028.80 × 511,060,684.80
  4. Step 4: Simplify right side
    531,468,019.20x = 407,418,614,762,477,312
  5. Step 5: Solve for x
    x = 407,418,614,762,477,312/531,468,019.20
  6. Step 6: Final answer
    x = 766,591,027.20

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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.