Finding the Fourth Proportional to 176,883,102,497.80, 265,324,653,746.70 and 77,703,457,313.80
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Solution
The fourth proportional to 176,883,102,497.80, 265,324,653,746.70 and 77,703,457,313.80 is: 116,555,185,970.70
Step by Step Solution
- Step 1: Write the proportion equation
176,883,102,497.80 : 265,324,653,746.70 = 77,703,457,313.80 : x - Step 2: Convert to fraction form
176,883,102,497.80/265,324,653,746.70 = 77,703,457,313.80/x - Step 3: Cross multiply
176,883,102,497.80x = 265,324,653,746.70 × 77,703,457,313.80 - Step 4: Simplify right side
176,883,102,497.80x = 20,616,642,906,705,471,995,904 - Step 5: Solve for x
x = 20,616,642,906,705,471,995,904/176,883,102,497.80 - Step 6: Final answer
x = 116,555,185,970.70
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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.