Finding the Fourth Proportional to 2,206,795,919,233.70, 3,311,883,425,656.30 and 998,894,593,355.97
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Solution
The fourth proportional to 2,206,795,919,233.70, 3,311,883,425,656.30 and 998,894,593,355.97 is: 1,499,106,654,530.20
Step by Step Solution
- Step 1: Write the proportion equation
2,206,795,919,233.70 : 3,311,883,425,656.30 = 998,894,593,355.97 : x - Step 2: Convert to fraction form
2,206,795,919,233.70/3,311,883,425,656.30 = 998,894,593,355.97/x - Step 3: Cross multiply
2,206,795,919,233.70x = 3,311,883,425,656.30 × 998,894,593,355.97 - Step 4: Simplify right side
2,206,795,919,233.70x = 3,308,222,447,713,326,509,064,192 - Step 5: Solve for x
x = 3,308,222,447,713,326,509,064,192/2,206,795,919,233.70 - Step 6: Final answer
x = 1,499,106,654,530.20
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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.