Finding the Fourth Proportional to 31,160,520,230,997, 42,983,652,112,233 and 19,434,376,708,302
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Solution
The fourth proportional to 31,160,520,230,997, 42,983,652,112,233 and 19,434,376,708,302 is: 26,808,297,206,051.15
Step by Step Solution
- Step 1: Write the proportion equation
31,160,520,230,997 : 42,983,652,112,233 = 19,434,376,708,302 : x - Step 2: Convert to fraction form
31,160,520,230,997/42,983,652,112,233 = 19,434,376,708,302/x - Step 3: Cross multiply
31,160,520,230,997x = 42,983,652,112,233 × 19,434,376,708,302 - Step 4: Simplify right side
31,160,520,230,997x = 835,360,487,447,737,109,370,109,952 - Step 5: Solve for x
x = 835,360,487,447,737,109,370,109,952/31,160,520,230,997 - Step 6: Final answer
x = 26,808,297,206,051.15
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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.