Finding the Fourth Proportional to 32,754,446,965,636, 45,202,557,677,200 and 18,138,718,452,743
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Solution
The fourth proportional to 32,754,446,965,636, 45,202,557,677,200 and 18,138,718,452,743 is: 25,032,218,309,495.95
Step by Step Solution
- Step 1: Write the proportion equation
32,754,446,965,636 : 45,202,557,677,200 = 18,138,718,452,743 : x - Step 2: Convert to fraction form
32,754,446,965,636/45,202,557,677,200 = 18,138,718,452,743/x - Step 3: Cross multiply
32,754,446,965,636x = 45,202,557,677,200 × 18,138,718,452,743 - Step 4: Simplify right side
32,754,446,965,636x = 819,916,467,050,607,406,326,218,752 - Step 5: Solve for x
x = 819,916,467,050,607,406,326,218,752/32,754,446,965,636 - Step 6: Final answer
x = 25,032,218,309,495.95
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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.