Finding the Fourth Proportional to 1,908,163,694,174.80, 2,862,033,396,805.50 and 682,873,366,352.20
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Solution
The fourth proportional to 1,908,163,694,174.80, 2,862,033,396,805.50 and 682,873,366,352.20 is: 1,024,234,129,522.20
Step by Step Solution
- Step 1: Write the proportion equation
1,908,163,694,174.80 : 2,862,033,396,805.50 = 682,873,366,352.20 : x - Step 2: Convert to fraction form
1,908,163,694,174.80/2,862,033,396,805.50 = 682,873,366,352.20/x - Step 3: Cross multiply
1,908,163,694,174.80x = 2,862,033,396,805.50 × 682,873,366,352.20 - Step 4: Simplify right side
1,908,163,694,174.80x = 1,954,406,380,288,993,577,140,224 - Step 5: Solve for x
x = 1,954,406,380,288,993,577,140,224/1,908,163,694,174.80 - Step 6: Final answer
x = 1,024,234,129,522.20
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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.