Finding the Fourth Proportional to 182,352,126,959.87, 251,645,959,057.68 and 101,067,197,699.47
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Solution
The fourth proportional to 182,352,126,959.87, 251,645,959,057.68 and 101,067,197,699.47 is: 139,472,746,045.64
Step by Step Solution
- Step 1: Write the proportion equation
182,352,126,959.87 : 251,645,959,057.68 = 101,067,197,699.47 : x - Step 2: Convert to fraction form
182,352,126,959.87/251,645,959,057.68 = 101,067,197,699.47/x - Step 3: Cross multiply
182,352,126,959.87x = 251,645,959,057.68 × 101,067,197,699.47 - Step 4: Simplify right side
182,352,126,959.87x = 25,433,151,894,355,278,036,992 - Step 5: Solve for x
x = 25,433,151,894,355,278,036,992/182,352,126,959.87 - Step 6: Final answer
x = 139,472,746,045.64
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1.5x scale
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.