Finding the Fourth Proportional to 9,543,147,487,994.80, 14,314,721,421,164 and 2,290,649,952,684.70
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Solution
The fourth proportional to 9,543,147,487,994.80, 14,314,721,421,164 and 2,290,649,952,684.70 is: 3,435,974,974,434.12
Step by Step Solution
- Step 1: Write the proportion equation
9,543,147,487,994.80 : 14,314,721,421,164 = 2,290,649,952,684.70 : x - Step 2: Convert to fraction form
9,543,147,487,994.80/14,314,721,421,164 = 2,290,649,952,684.70/x - Step 3: Cross multiply
9,543,147,487,994.80x = 14,314,721,421,164 × 2,290,649,952,684.70 - Step 4: Simplify right side
9,543,147,487,994.80x = 32,790,015,946,083,980,198,019,072 - Step 5: Solve for x
x = 32,790,015,946,083,980,198,019,072/9,543,147,487,994.80 - Step 6: Final answer
x = 3,435,974,974,434.12
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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.