Finding the Fourth Proportional to 49,262,796,958,875, 67,982,727,124,242 and 26,736,904,945,894
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Solution
The fourth proportional to 49,262,796,958,875, 67,982,727,124,242 and 26,736,904,945,894 is: 36,896,965,363,150.12
Step by Step Solution
- Step 1: Write the proportion equation
49,262,796,958,875 : 67,982,727,124,242 = 26,736,904,945,894 : x - Step 2: Convert to fraction form
49,262,796,958,875/67,982,727,124,242 = 26,736,904,945,894/x - Step 3: Cross multiply
49,262,796,958,875x = 67,982,727,124,242 × 26,736,904,945,894 - Step 4: Simplify right side
49,262,796,958,875x = 1,817,647,713,083,508,120,379,981,824 - Step 5: Solve for x
x = 1,817,647,713,083,508,120,379,981,824/49,262,796,958,875 - Step 6: Final answer
x = 36,896,965,363,150.12
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.