Finding the Fourth Proportional to 3,513,794,720,472, 4,848,770,599,973.20 and 1,971,994,332,147.90
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Solution
The fourth proportional to 3,513,794,720,472, 4,848,770,599,973.20 and 1,971,994,332,147.90 is: 2,721,202,831,037.36
Step by Step Solution
- Step 1: Write the proportion equation
3,513,794,720,472 : 4,848,770,599,973.20 = 1,971,994,332,147.90 : x - Step 2: Convert to fraction form
3,513,794,720,472/4,848,770,599,973.20 = 1,971,994,332,147.90/x - Step 3: Cross multiply
3,513,794,720,472x = 4,848,770,599,973.20 × 1,971,994,332,147.90 - Step 4: Simplify right side
3,513,794,720,472x = 9,561,748,141,032,523,117,363,200 - Step 5: Solve for x
x = 9,561,748,141,032,523,117,363,200/3,513,794,720,472 - Step 6: Final answer
x = 2,721,202,831,037.36
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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.