Finding the Fourth Proportional to 168,303,175,728.82, 232,258,606,484.93 and 91,141,148,668.09
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Solution
The fourth proportional to 168,303,175,728.82, 232,258,606,484.93 and 91,141,148,668.09 is: 125,774,906,453.31
Step by Step Solution
- Step 1: Write the proportion equation
168,303,175,728.82 : 232,258,606,484.93 = 91,141,148,668.09 : x - Step 2: Convert to fraction form
168,303,175,728.82/232,258,606,484.93 = 91,141,148,668.09/x - Step 3: Cross multiply
168,303,175,728.82x = 232,258,606,484.93 × 91,141,148,668.09 - Step 4: Simplify right side
168,303,175,728.82x = 21,168,316,183,086,414,954,496 - Step 5: Solve for x
x = 21,168,316,183,086,414,954,496/168,303,175,728.82 - Step 6: Final answer
x = 125,774,906,453.31
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1.5x scale
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.