Finding the Fourth Proportional to 6,995,703,380,675.80, 10,494,986,266,497 and 2,405,636,167,399.20
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Solution
The fourth proportional to 6,995,703,380,675.80, 10,494,986,266,497 and 2,405,636,167,399.20 is: 3,608,946,401,127.17
Step by Step Solution
- Step 1: Write the proportion equation
6,995,703,380,675.80 : 10,494,986,266,497 = 2,405,636,167,399.20 : x - Step 2: Convert to fraction form
6,995,703,380,675.80/10,494,986,266,497 = 2,405,636,167,399.20/x - Step 3: Cross multiply
6,995,703,380,675.80x = 10,494,986,266,497 × 2,405,636,167,399.20 - Step 4: Simplify right side
6,995,703,380,675.80x = 25,247,118,539,043,084,504,662,016 - Step 5: Solve for x
x = 25,247,118,539,043,084,504,662,016/6,995,703,380,675.80 - Step 6: Final answer
x = 3,608,946,401,127.17
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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.