Finding the Fourth Proportional to 42,828,813,278,068, 59,103,962,474,816 and 24,331,796,860,234
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Solution
The fourth proportional to 42,828,813,278,068, 59,103,962,474,816 and 24,331,796,860,234 is: 33,577,993,376,448.48
Step by Step Solution
- Step 1: Write the proportion equation
42,828,813,278,068 : 59,103,962,474,816 = 24,331,796,860,234 : x - Step 2: Convert to fraction form
42,828,813,278,068/59,103,962,474,816 = 24,331,796,860,234/x - Step 3: Cross multiply
42,828,813,278,068x = 59,103,962,474,816 × 24,331,796,860,234 - Step 4: Simplify right side
42,828,813,278,068x = 1,438,105,608,572,116,151,373,398,016 - Step 5: Solve for x
x = 1,438,105,608,572,116,151,373,398,016/42,828,813,278,068 - Step 6: Final answer
x = 33,577,993,376,448.48
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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.