Finding the Fourth Proportional to 1,998,106,981,822.70, 2,996,806,185,140.40 and 908,748,816,450.24
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Solution
The fourth proportional to 1,998,106,981,822.70, 2,996,806,185,140.40 and 908,748,816,450.24 is: 1,362,962,092,947.01
Step by Step Solution
- Step 1: Write the proportion equation
1,998,106,981,822.70 : 2,996,806,185,140.40 = 908,748,816,450.24 : x - Step 2: Convert to fraction form
1,998,106,981,822.70/2,996,806,185,140.40 = 908,748,816,450.24/x - Step 3: Cross multiply
1,998,106,981,822.70x = 2,996,806,185,140.40 × 908,748,816,450.24 - Step 4: Simplify right side
1,998,106,981,822.70x = 2,723,344,073,877,097,101,131,776 - Step 5: Solve for x
x = 2,723,344,073,877,097,101,131,776/1,998,106,981,822.70 - Step 6: Final answer
x = 1,362,962,092,947.01
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.