Finding the Fourth Proportional to 2,206,795,919,232.70, 3,311,883,425,654.80 and 998,894,593,354.97
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Solution
The fourth proportional to 2,206,795,919,232.70, 3,311,883,425,654.80 and 998,894,593,354.97 is: 1,499,106,654,528.70
Step by Step Solution
- Step 1: Write the proportion equation
2,206,795,919,232.70 : 3,311,883,425,654.80 = 998,894,593,354.97 : x - Step 2: Convert to fraction form
2,206,795,919,232.70/3,311,883,425,654.80 = 998,894,593,354.97/x - Step 3: Cross multiply
2,206,795,919,232.70x = 3,311,883,425,654.80 × 998,894,593,354.97 - Step 4: Simplify right side
2,206,795,919,232.70x = 3,308,222,447,708,516,145,692,672 - Step 5: Solve for x
x = 3,308,222,447,708,516,145,692,672/2,206,795,919,232.70 - Step 6: Final answer
x = 1,499,106,654,528.70
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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.