Finding the Fourth Proportional to 1,348,183,977,238.20, 1,860,632,557,374.80 and 820,270,853,286.96
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Solution
The fourth proportional to 1,348,183,977,238.20, 1,860,632,557,374.80 and 820,270,853,286.96 is: 1,132,058,147,299.63
Step by Step Solution
- Step 1: Write the proportion equation
1,348,183,977,238.20 : 1,860,632,557,374.80 = 820,270,853,286.96 : x - Step 2: Convert to fraction form
1,348,183,977,238.20/1,860,632,557,374.80 = 820,270,853,286.96/x - Step 3: Cross multiply
1,348,183,977,238.20x = 1,860,632,557,374.80 × 820,270,853,286.96 - Step 4: Simplify right side
1,348,183,977,238.20x = 1,526,222,655,491,325,764,304,896 - Step 5: Solve for x
x = 1,526,222,655,491,325,764,304,896/1,348,183,977,238.20 - Step 6: Final answer
x = 1,132,058,147,299.63
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.