Finding the Fourth Proportional to 47,678,186,886,020, 71,517,280,248,212 and 11,456,598,832,334
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Solution
The fourth proportional to 47,678,186,886,020, 71,517,280,248,212 and 11,456,598,832,334 is: 17,184,898,229,081.23
Step by Step Solution
- Step 1: Write the proportion equation
47,678,186,886,020 : 71,517,280,248,212 = 11,456,598,832,334 : x - Step 2: Convert to fraction form
47,678,186,886,020/71,517,280,248,212 = 11,456,598,832,334/x - Step 3: Cross multiply
47,678,186,886,020x = 71,517,280,248,212 × 11,456,598,832,334 - Step 4: Simplify right side
47,678,186,886,020x = 819,344,789,383,368,986,442,334,208 - Step 5: Solve for x
x = 819,344,789,383,368,986,442,334,208/47,678,186,886,020 - Step 6: Final answer
x = 17,184,898,229,081.23
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.