Finding the Fourth Proportional to 1,163,951,826,094, 1,606,236,425,678.50 and 650,125,119,174.44
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Solution
The fourth proportional to 1,163,951,826,094, 1,606,236,425,678.50 and 650,125,119,174.44 is: 897,163,116,424.57
Step by Step Solution
- Step 1: Write the proportion equation
1,163,951,826,094 : 1,606,236,425,678.50 = 650,125,119,174.44 : x - Step 2: Convert to fraction form
1,163,951,826,094/1,606,236,425,678.50 = 650,125,119,174.44/x - Step 3: Cross multiply
1,163,951,826,094x = 1,606,236,425,678.50 × 650,125,119,174.44 - Step 4: Simplify right side
1,163,951,826,094x = 1,044,254,647,666,561,284,833,280 - Step 5: Solve for x
x = 1,044,254,647,666,561,284,833,280/1,163,951,826,094 - Step 6: Final answer
x = 897,163,116,424.57
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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.