Finding the Fourth Proportional to 13,967,421,913,006, 19,274,837,107,975 and 7,801,501,429,972
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Solution
The fourth proportional to 13,967,421,913,006, 19,274,837,107,975 and 7,801,501,429,972 is: 10,765,957,396,928.23
Step by Step Solution
- Step 1: Write the proportion equation
13,967,421,913,006 : 19,274,837,107,975 = 7,801,501,429,972 : x - Step 2: Convert to fraction form
13,967,421,913,006/19,274,837,107,975 = 7,801,501,429,972/x - Step 3: Cross multiply
13,967,421,913,006x = 19,274,837,107,975 × 7,801,501,429,972 - Step 4: Simplify right side
13,967,421,913,006x = 150,372,669,260,344,337,721,458,688 - Step 5: Solve for x
x = 150,372,669,260,344,337,721,458,688/13,967,421,913,006 - Step 6: Final answer
x = 10,765,957,396,928.23
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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.