Finding the Fourth Proportional to 1,517,900,310,603, 2,276,770,276,631.80 and 497,883,484,439.24
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Solution
The fourth proportional to 1,517,900,310,603, 2,276,770,276,631.80 and 497,883,484,439.24 is: 746,798,923,933.82
Step by Step Solution
- Step 1: Write the proportion equation
1,517,900,310,603 : 2,276,770,276,631.80 = 497,883,484,439.24 : x - Step 2: Convert to fraction form
1,517,900,310,603/2,276,770,276,631.80 = 497,883,484,439.24/x - Step 3: Cross multiply
1,517,900,310,603x = 2,276,770,276,631.80 × 497,883,484,439.24 - Step 4: Simplify right side
1,517,900,310,603x = 1,133,566,318,597,132,796,297,216 - Step 5: Solve for x
x = 1,133,566,318,597,132,796,297,216/1,517,900,310,603 - Step 6: Final answer
x = 746,798,923,933.82
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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.