Finding the Fourth Proportional to 1,659,953,481.13, 2,488,397,949.35 and 830,185,074.12
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Solution
The fourth proportional to 1,659,953,481.13, 2,488,397,949.35 and 830,185,074.12 is: 1,244,511,282.70
Step by Step Solution
- Step 1: Write the proportion equation
1,659,953,481.13 : 2,488,397,949.35 = 830,185,074.12 : x - Step 2: Convert to fraction form
1,659,953,481.13/2,488,397,949.35 = 830,185,074.12/x - Step 3: Cross multiply
1,659,953,481.13x = 2,488,397,949.35 × 830,185,074.12 - Step 4: Simplify right side
1,659,953,481.13x = 2,065,830,836,023,582,976 - Step 5: Solve for x
x = 2,065,830,836,023,582,976/1,659,953,481.13 - Step 6: Final answer
x = 1,244,511,282.70
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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.