Finding the Fourth Proportional to 40,500,468,257,260, 55,895,437,636,344 and 24,057,838,643,176
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Solution
The fourth proportional to 40,500,468,257,260, 55,895,437,636,344 and 24,057,838,643,176 is: 33,202,663,510,040.27
Step by Step Solution
- Step 1: Write the proportion equation
40,500,468,257,260 : 55,895,437,636,344 = 24,057,838,643,176 : x - Step 2: Convert to fraction form
40,500,468,257,260/55,895,437,636,344 = 24,057,838,643,176/x - Step 3: Cross multiply
40,500,468,257,260x = 55,895,437,636,344 × 24,057,838,643,176 - Step 4: Simplify right side
40,500,468,257,260x = 1,344,723,419,544,870,769,783,734,272 - Step 5: Solve for x
x = 1,344,723,419,544,870,769,783,734,272/40,500,468,257,260 - Step 6: Final answer
x = 33,202,663,510,040.27
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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.