Finding the Fourth Proportional to 168,342,832,182.81, 232,311,257,685.39 and 91,178,752,373.80
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Solution
The fourth proportional to 168,342,832,182.81, 232,311,257,685.39 and 91,178,752,373.80 is: 125,825,675,875.17
Step by Step Solution
- Step 1: Write the proportion equation
168,342,832,182.81 : 232,311,257,685.39 = 91,178,752,373.80 : x - Step 2: Convert to fraction form
168,342,832,182.81/232,311,257,685.39 = 91,178,752,373.80/x - Step 3: Cross multiply
168,342,832,182.81x = 232,311,257,685.39 × 91,178,752,373.80 - Step 4: Simplify right side
168,342,832,182.81x = 21,181,850,638,141,754,441,728 - Step 5: Solve for x
x = 21,181,850,638,141,754,441,728/168,342,832,182.81 - Step 6: Final answer
x = 125,825,675,875.17
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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.