Finding the Fourth Proportional to 1,679,022,321,891.40, 2,518,785,306,681.30 and 589,727,323,554.70
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Solution
The fourth proportional to 1,679,022,321,891.40, 2,518,785,306,681.30 and 589,727,323,554.70 is: 884,679,434,067.79
Step by Step Solution
- Step 1: Write the proportion equation
1,679,022,321,891.40 : 2,518,785,306,681.30 = 589,727,323,554.70 : x - Step 2: Convert to fraction form
1,679,022,321,891.40/2,518,785,306,681.30 = 589,727,323,554.70/x - Step 3: Cross multiply
1,679,022,321,891.40x = 2,518,785,306,681.30 × 589,727,323,554.70 - Step 4: Simplify right side
1,679,022,321,891.40x = 1,485,396,517,518,067,114,180,608 - Step 5: Solve for x
x = 1,485,396,517,518,067,114,180,608/1,679,022,321,891.40 - Step 6: Final answer
x = 884,679,434,067.79
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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.