Finding the Fourth Proportional to 30,574,355,179,840, 42,192,608,534,346 and 16,511,550,121,918
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Solution
The fourth proportional to 30,574,355,179,840, 42,192,608,534,346 and 16,511,550,121,918 is: 22,785,938,296,703.11
Step by Step Solution
- Step 1: Write the proportion equation
30,574,355,179,840 : 42,192,608,534,346 = 16,511,550,121,918 : x - Step 2: Convert to fraction form
30,574,355,179,840/42,192,608,534,346 = 16,511,550,121,918/x - Step 3: Cross multiply
30,574,355,179,840x = 42,192,608,534,346 × 16,511,550,121,918 - Step 4: Simplify right side
30,574,355,179,840x = 696,665,370,589,319,175,916,748,800 - Step 5: Solve for x
x = 696,665,370,589,319,175,916,748,800/30,574,355,179,840 - Step 6: Final answer
x = 22,785,938,296,703.11
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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.