Finding the Fourth Proportional to 2,374,371,036,013, 3,561,556,554,020 and 2,374,371,036,013
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Solution
The fourth proportional to 2,374,371,036,013, 3,561,556,554,020 and 2,374,371,036,013 is: 3,561,556,554,020
Step by Step Solution
- Step 1: Write the proportion equation
2,374,371,036,013 : 3,561,556,554,020 = 2,374,371,036,013 : x - Step 2: Convert to fraction form
2,374,371,036,013/3,561,556,554,020 = 2,374,371,036,013/x - Step 3: Cross multiply
2,374,371,036,013x = 3,561,556,554,020 × 2,374,371,036,013 - Step 4: Simplify right side
2,374,371,036,013x = 8,456,456,724,987,357,138,255,872 - Step 5: Solve for x
x = 8,456,456,724,987,357,138,255,872/2,374,371,036,013 - Step 6: Final answer
x = 3,561,556,554,020
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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.