Finding the Fourth Proportional to 13,669,287,848,274, 18,863,631,191,395 and 7,419,154,157,102
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Solution
The fourth proportional to 13,669,287,848,274, 18,863,631,191,395 and 7,419,154,157,102 is: 10,238,440,314,163.75
Step by Step Solution
- Step 1: Write the proportion equation
13,669,287,848,274 : 18,863,631,191,395 = 7,419,154,157,102 : x - Step 2: Convert to fraction form
13,669,287,848,274/18,863,631,191,395 = 7,419,154,157,102/x - Step 3: Cross multiply
13,669,287,848,274x = 18,863,631,191,395 × 7,419,154,157,102 - Step 4: Simplify right side
13,669,287,848,274x = 139,952,187,771,677,162,430,529,536 - Step 5: Solve for x
x = 139,952,187,771,677,162,430,529,536/13,669,287,848,274 - Step 6: Final answer
x = 10,238,440,314,163.75
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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.