Finding the Fourth Proportional to 30,574,355,179,472, 42,192,608,533,838 and 16,511,550,121,550
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Solution
The fourth proportional to 30,574,355,179,472, 42,192,608,533,838 and 16,511,550,121,550 is: 22,785,938,296,195.18
Step by Step Solution
- Step 1: Write the proportion equation
30,574,355,179,472 : 42,192,608,533,838 = 16,511,550,121,550 : x - Step 2: Convert to fraction form
30,574,355,179,472/42,192,608,533,838 = 16,511,550,121,550/x - Step 3: Cross multiply
30,574,355,179,472x = 42,192,608,533,838 × 16,511,550,121,550 - Step 4: Simplify right side
30,574,355,179,472x = 696,665,370,565,404,385,695,760,384 - Step 5: Solve for x
x = 696,665,370,565,404,385,695,760,384/30,574,355,179,472 - Step 6: Final answer
x = 22,785,938,296,195.18
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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.