Finding the Fourth Proportional to 3,040,964,952,943, 4,196,891,398,929.40 and 1,806,375,266,762.70
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Solution
The fourth proportional to 3,040,964,952,943, 4,196,891,398,929.40 and 1,806,375,266,762.70 is: 2,493,011,572,849.02
Step by Step Solution
- Step 1: Write the proportion equation
3,040,964,952,943 : 4,196,891,398,929.40 = 1,806,375,266,762.70 : x - Step 2: Convert to fraction form
3,040,964,952,943/4,196,891,398,929.40 = 1,806,375,266,762.70/x - Step 3: Cross multiply
3,040,964,952,943x = 4,196,891,398,929.40 × 1,806,375,266,762.70 - Step 4: Simplify right side
3,040,964,952,943x = 7,581,160,820,315,176,201,879,552 - Step 5: Solve for x
x = 7,581,160,820,315,176,201,879,552/3,040,964,952,943 - Step 6: Final answer
x = 2,493,011,572,849.02
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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.