Finding the Fourth Proportional to 22,767,067,766,692, 31,418,553,518,042 and 13,023,248,758,096
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Solution
The fourth proportional to 22,767,067,766,692, 31,418,553,518,042 and 13,023,248,758,096 is: 17,972,083,286,176.51
Step by Step Solution
- Step 1: Write the proportion equation
22,767,067,766,692 : 31,418,553,518,042 = 13,023,248,758,096 : x - Step 2: Convert to fraction form
22,767,067,766,692/31,418,553,518,042 = 13,023,248,758,096/x - Step 3: Cross multiply
22,767,067,766,692x = 31,418,553,518,042 × 13,023,248,758,096 - Step 4: Simplify right side
22,767,067,766,692x = 409,171,638,085,013,220,731,387,904 - Step 5: Solve for x
x = 409,171,638,085,013,220,731,387,904/22,767,067,766,692 - Step 6: Final answer
x = 17,972,083,286,176.51
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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.