Finding the Fourth Proportional to 1,517,900,310,601, 2,276,770,276,628.70 and 497,883,484,437.24
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Solution
The fourth proportional to 1,517,900,310,601, 2,276,770,276,628.70 and 497,883,484,437.24 is: 746,798,923,930.79
Step by Step Solution
- Step 1: Write the proportion equation
1,517,900,310,601 : 2,276,770,276,628.70 = 497,883,484,437.24 : x - Step 2: Convert to fraction form
1,517,900,310,601/2,276,770,276,628.70 = 497,883,484,437.24/x - Step 3: Cross multiply
1,517,900,310,601x = 2,276,770,276,628.70 × 497,883,484,437.24 - Step 4: Simplify right side
1,517,900,310,601x = 1,133,566,318,591,036,090,220,544 - Step 5: Solve for x
x = 1,133,566,318,591,036,090,220,544/1,517,900,310,601 - Step 6: Final answer
x = 746,798,923,930.79
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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.