Finding the Fourth Proportional to 6,995,703,380,675.20, 10,494,986,266,496 and 2,405,636,167,398.80
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Solution
The fourth proportional to 6,995,703,380,675.20, 10,494,986,266,496 and 2,405,636,167,398.80 is: 3,608,946,401,126.53
Step by Step Solution
- Step 1: Write the proportion equation
6,995,703,380,675.20 : 10,494,986,266,496 = 2,405,636,167,398.80 : x - Step 2: Convert to fraction form
6,995,703,380,675.20/10,494,986,266,496 = 2,405,636,167,398.80/x - Step 3: Cross multiply
6,995,703,380,675.20x = 10,494,986,266,496 × 2,405,636,167,398.80 - Step 4: Simplify right side
6,995,703,380,675.20x = 25,247,118,539,036,474,549,993,472 - Step 5: Solve for x
x = 25,247,118,539,036,474,549,993,472/6,995,703,380,675.20 - Step 6: Final answer
x = 3,608,946,401,126.53
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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.