Finding the Fourth Proportional to 22,767,067,766,876, 31,418,553,518,304 and 13,023,248,758,282
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Solution
The fourth proportional to 22,767,067,766,876, 31,418,553,518,304 and 13,023,248,758,282 is: 17,972,083,286,437.81
Step by Step Solution
- Step 1: Write the proportion equation
22,767,067,766,876 : 31,418,553,518,304 = 13,023,248,758,282 : x - Step 2: Convert to fraction form
22,767,067,766,876/31,418,553,518,304 = 13,023,248,758,282/x - Step 3: Cross multiply
22,767,067,766,876x = 31,418,553,518,304 × 13,023,248,758,282 - Step 4: Simplify right side
22,767,067,766,876x = 409,171,638,094,269,115,772,436,480 - Step 5: Solve for x
x = 409,171,638,094,269,115,772,436,480/22,767,067,766,876 - Step 6: Final answer
x = 17,972,083,286,437.81
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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.