Finding the Fourth Proportional to 1,744,376,473,846.70, 2,614,363,719,656.40 and 884,066,805,388.80
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Solution
The fourth proportional to 1,744,376,473,846.70, 2,614,363,719,656.40 and 884,066,805,388.80 is: 1,324,984,724,578.52
Step by Step Solution
- Step 1: Write the proportion equation
1,744,376,473,846.70 : 2,614,363,719,656.40 = 884,066,805,388.80 : x - Step 2: Convert to fraction form
1,744,376,473,846.70/2,614,363,719,656.40 = 884,066,805,388.80/x - Step 3: Cross multiply
1,744,376,473,846.70x = 2,614,363,719,656.40 × 884,066,805,388.80 - Step 4: Simplify right side
1,744,376,473,846.70x = 2,311,272,181,761,013,964,603,392 - Step 5: Solve for x
x = 2,311,272,181,761,013,964,603,392/1,744,376,473,846.70 - Step 6: Final answer
x = 1,324,984,724,578.52
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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.