Finding the Fourth Proportional to 65,188,118,223,836, 89,959,882,825,944 and 35,558,494,391,104
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Solution
The fourth proportional to 65,188,118,223,836, 89,959,882,825,944 and 35,558,494,391,104 is: 49,070,874,816,586.59
Step by Step Solution
- Step 1: Write the proportion equation
65,188,118,223,836 : 89,959,882,825,944 = 35,558,494,391,104 : x - Step 2: Convert to fraction form
65,188,118,223,836/89,959,882,825,944 = 35,558,494,391,104/x - Step 3: Cross multiply
65,188,118,223,836x = 89,959,882,825,944 × 35,558,494,391,104 - Step 4: Simplify right side
65,188,118,223,836x = 3,198,837,988,890,703,047,505,739,776 - Step 5: Solve for x
x = 3,198,837,988,890,703,047,505,739,776/65,188,118,223,836 - Step 6: Final answer
x = 49,070,874,816,586.59
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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.