Finding the Fourth Proportional to 34,755,516,827,878, 47,930,396,169,546 and 25,365,440,813,730
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Solution
The fourth proportional to 34,755,516,827,878, 47,930,396,169,546 and 25,365,440,813,730 is: 34,980,795,516,240.33
Step by Step Solution
- Step 1: Write the proportion equation
34,755,516,827,878 : 47,930,396,169,546 = 25,365,440,813,730 : x - Step 2: Convert to fraction form
34,755,516,827,878/47,930,396,169,546 = 25,365,440,813,730/x - Step 3: Cross multiply
34,755,516,827,878x = 47,930,396,169,546 × 25,365,440,813,730 - Step 4: Simplify right side
34,755,516,827,878x = 1,215,775,627,217,250,204,468,117,504 - Step 5: Solve for x
x = 1,215,775,627,217,250,204,468,117,504/34,755,516,827,878 - Step 6: Final answer
x = 34,980,795,516,240.33
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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.