Finding the Fourth Proportional to 176,883,102,480.30, 265,324,653,720.45 and 77,703,457,296.30
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Solution
The fourth proportional to 176,883,102,480.30, 265,324,653,720.45 and 77,703,457,296.30 is: 116,555,185,944.45
Step by Step Solution
- Step 1: Write the proportion equation
176,883,102,480.30 : 265,324,653,720.45 = 77,703,457,296.30 : x - Step 2: Convert to fraction form
176,883,102,480.30/265,324,653,720.45 = 77,703,457,296.30/x - Step 3: Cross multiply
176,883,102,480.30x = 265,324,653,720.45 × 77,703,457,296.30 - Step 4: Simplify right side
176,883,102,480.30x = 20,616,642,900,022,574,186,496 - Step 5: Solve for x
x = 20,616,642,900,022,574,186,496/176,883,102,480.30 - Step 6: Final answer
x = 116,555,185,944.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.