Finding the Fourth Proportional to 22,513,678,868,206, 31,067,171,783,654 and 12,635,014,466,062
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Solution
The fourth proportional to 22,513,678,868,206, 31,067,171,783,654 and 12,635,014,466,062 is: 17,435,363,061,007.39
Step by Step Solution
- Step 1: Write the proportion equation
22,513,678,868,206 : 31,067,171,783,654 = 12,635,014,466,062 : x - Step 2: Convert to fraction form
22,513,678,868,206/31,067,171,783,654 = 12,635,014,466,062/x - Step 3: Cross multiply
22,513,678,868,206x = 31,067,171,783,654 × 12,635,014,466,062 - Step 4: Simplify right side
22,513,678,868,206x = 392,534,164,906,101,467,321,991,168 - Step 5: Solve for x
x = 392,534,164,906,101,467,321,991,168/22,513,678,868,206 - Step 6: Final answer
x = 17,435,363,061,007.39
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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.