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Finding the Fourth Proportional to 598,881,609.60, 898,322,414.40 and 511,205,654.40

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Solution

The fourth proportional to 598,881,609.60, 898,322,414.40 and 511,205,654.40 is: 766,808,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,881,609.60 : 898,322,414.40 = 511,205,654.40 : x
  2. Step 2: Convert to fraction form
    598,881,609.60/898,322,414.40 = 511,205,654.40/x
  3. Step 3: Cross multiply
    598,881,609.60x = 898,322,414.40 × 511,205,654.40
  4. Step 4: Simplify right side
    598,881,609.60x = 459,227,497,715,539,968
  5. Step 5: Solve for x
    x = 459,227,497,715,539,968/598,881,609.60
  6. Step 6: Final answer
    x = 766,808,481.60

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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.