Finding the Fourth Proportional to 797,256,206,710.83, 1,195,887,412,675.60 and 192,880,442,384.82
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Solution
The fourth proportional to 797,256,206,710.83, 1,195,887,412,675.60 and 192,880,442,384.82 is: 289,321,414,192.48
Step by Step Solution
- Step 1: Write the proportion equation
797,256,206,710.83 : 1,195,887,412,675.60 = 192,880,442,384.82 : x - Step 2: Convert to fraction form
797,256,206,710.83/1,195,887,412,675.60 = 192,880,442,384.82/x - Step 3: Cross multiply
797,256,206,710.83x = 1,195,887,412,675.60 × 192,880,442,384.82 - Step 4: Simplify right side
797,256,206,710.83x = 230,663,293,199,307,539,218,432 - Step 5: Solve for x
x = 230,663,293,199,307,539,218,432/797,256,206,710.83 - Step 6: Final answer
x = 289,321,414,192.48
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.