Finding the Fourth Proportional to 182,174,663,418.97, 251,408,938,123.77 and 100,884,486,372.01
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Solution
The fourth proportional to 182,174,663,418.97, 251,408,938,123.77 and 100,884,486,372.01 is: 139,224,967,489.68
Step by Step Solution
- Step 1: Write the proportion equation
182,174,663,418.97 : 251,408,938,123.77 = 100,884,486,372.01 : x - Step 2: Convert to fraction form
182,174,663,418.97/251,408,938,123.77 = 100,884,486,372.01/x - Step 3: Cross multiply
182,174,663,418.97x = 251,408,938,123.77 × 100,884,486,372.01 - Step 4: Simplify right side
182,174,663,418.97x = 25,363,261,591,948,976,193,536 - Step 5: Solve for x
x = 25,363,261,591,948,976,193,536/182,174,663,418.97 - Step 6: Final answer
x = 139,224,967,489.68
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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.