Finding the Fourth Proportional to 176,883,102,417.80, 265,324,653,626.70 and 77,703,457,233.80
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Solution
The fourth proportional to 176,883,102,417.80, 265,324,653,626.70 and 77,703,457,233.80 is: 116,555,185,850.70
Step by Step Solution
- Step 1: Write the proportion equation
176,883,102,417.80 : 265,324,653,626.70 = 77,703,457,233.80 : x - Step 2: Convert to fraction form
176,883,102,417.80/265,324,653,626.70 = 77,703,457,233.80/x - Step 3: Cross multiply
176,883,102,417.80x = 265,324,653,626.70 × 77,703,457,233.80 - Step 4: Simplify right side
176,883,102,417.80x = 20,616,642,876,155,084,406,784 - Step 5: Solve for x
x = 20,616,642,876,155,084,406,784/176,883,102,417.80 - Step 6: Final answer
x = 116,555,185,850.70
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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.