Finding the Fourth Proportional to 34,846,316,633,094, 48,092,133,726,444 and 19,832,705,403,948
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Solution
The fourth proportional to 34,846,316,633,094, 48,092,133,726,444 and 19,832,705,403,948 is: 27,371,533,424,511.28
Step by Step Solution
- Step 1: Write the proportion equation
34,846,316,633,094 : 48,092,133,726,444 = 19,832,705,403,948 : x - Step 2: Convert to fraction form
34,846,316,633,094/48,092,133,726,444 = 19,832,705,403,948/x - Step 3: Cross multiply
34,846,316,633,094x = 48,092,133,726,444 × 19,832,705,403,948 - Step 4: Simplify right side
34,846,316,633,094x = 953,797,120,443,835,766,083,158,016 - Step 5: Solve for x
x = 953,797,120,443,835,766,083,158,016/34,846,316,633,094 - Step 6: Final answer
x = 27,371,533,424,511.28
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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.