Finding the Fourth Proportional to 461,295,011,596.05, 636,586,894,588.86 and 275,896,717,357.54
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Solution
The fourth proportional to 461,295,011,596.05, 636,586,894,588.86 and 275,896,717,357.54 is: 380,737,337,527.72
Step by Step Solution
- Step 1: Write the proportion equation
461,295,011,596.05 : 636,586,894,588.86 = 275,896,717,357.54 : x - Step 2: Convert to fraction form
461,295,011,596.05/636,586,894,588.86 = 275,896,717,357.54/x - Step 3: Cross multiply
461,295,011,596.05x = 636,586,894,588.86 × 275,896,717,357.54 - Step 4: Simplify right side
461,295,011,596.05x = 175,632,234,529,896,796,258,304 - Step 5: Solve for x
x = 175,632,234,529,896,796,258,304/461,295,011,596.05 - Step 6: Final answer
x = 380,737,337,527.72
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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.