Finding the Fourth Proportional to 49,496,102,095,372, 68,301,543,261,789 and 27,272,156,270,580
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Solution
The fourth proportional to 49,496,102,095,372, 68,301,543,261,789 and 27,272,156,270,580 is: 37,633,879,891,553.31
Step by Step Solution
- Step 1: Write the proportion equation
49,496,102,095,372 : 68,301,543,261,789 = 27,272,156,270,580 : x - Step 2: Convert to fraction form
49,496,102,095,372/68,301,543,261,789 = 27,272,156,270,580/x - Step 3: Cross multiply
49,496,102,095,372x = 68,301,543,261,789 × 27,272,156,270,580 - Step 4: Simplify right side
49,496,102,095,372x = 1,862,730,361,357,289,924,534,992,896 - Step 5: Solve for x
x = 1,862,730,361,357,289,924,534,992,896/49,496,102,095,372 - Step 6: Final answer
x = 37,633,879,891,553.31
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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.