Finding the Fourth Proportional to 5,905,108,441,875, 8,901,922,662,654.10 and 5,511,472,275,405
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Solution
The fourth proportional to 5,905,108,441,875, 8,901,922,662,654.10 and 5,511,472,275,405 is: 8,308,518,029,084.50
Step by Step Solution
- Step 1: Write the proportion equation
5,905,108,441,875 : 8,901,922,662,654.10 = 5,511,472,275,405 : x - Step 2: Convert to fraction form
5,905,108,441,875/8,901,922,662,654.10 = 5,511,472,275,405/x - Step 3: Cross multiply
5,905,108,441,875x = 8,901,922,662,654.10 × 5,511,472,275,405 - Step 4: Simplify right side
5,905,108,441,875x = 49,062,699,953,017,526,943,744,000 - Step 5: Solve for x
x = 49,062,699,953,017,526,943,744,000/5,905,108,441,875 - Step 6: Final answer
x = 8,308,518,029,084.50
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.