Finding the Fourth Proportional to 49,262,796,973,716, 67,982,727,144,648 and 26,736,904,960,658
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Solution
The fourth proportional to 49,262,796,973,716, 67,982,727,144,648 and 26,736,904,960,658 is: 36,896,965,383,483.98
Step by Step Solution
- Step 1: Write the proportion equation
49,262,796,973,716 : 67,982,727,144,648 = 26,736,904,960,658 : x - Step 2: Convert to fraction form
49,262,796,973,716/67,982,727,144,648 = 26,736,904,960,658/x - Step 3: Cross multiply
49,262,796,973,716x = 67,982,727,144,648 × 26,736,904,960,658 - Step 4: Simplify right side
49,262,796,973,716x = 1,817,647,714,632,798,344,119,844,864 - Step 5: Solve for x
x = 1,817,647,714,632,798,344,119,844,864/49,262,796,973,716 - Step 6: Final answer
x = 36,896,965,383,483.98
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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.