Finding the Fourth Proportional to 1,163,951,826,095, 1,606,236,425,679.90 and 650,125,119,175.44
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Solution
The fourth proportional to 1,163,951,826,095, 1,606,236,425,679.90 and 650,125,119,175.44 is: 897,163,116,425.96
Step by Step Solution
- Step 1: Write the proportion equation
1,163,951,826,095 : 1,606,236,425,679.90 = 650,125,119,175.44 : x - Step 2: Convert to fraction form
1,163,951,826,095/1,606,236,425,679.90 = 650,125,119,175.44/x - Step 3: Cross multiply
1,163,951,826,095x = 1,606,236,425,679.90 × 650,125,119,175.44 - Step 4: Simplify right side
1,163,951,826,095x = 1,044,254,647,669,077,598,797,824 - Step 5: Solve for x
x = 1,044,254,647,669,077,598,797,824/1,163,951,826,095 - Step 6: Final answer
x = 897,163,116,425.96
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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.