Finding the Fourth Proportional to 27,405,523,125,999, 41,125,193,312,702 and 12,699,891,529,260
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Solution
The fourth proportional to 27,405,523,125,999, 41,125,193,312,702 and 12,699,891,529,260 is: 19,057,672,856,304.05
Step by Step Solution
- Step 1: Write the proportion equation
27,405,523,125,999 : 41,125,193,312,702 = 12,699,891,529,260 : x - Step 2: Convert to fraction form
27,405,523,125,999/41,125,193,312,702 = 12,699,891,529,260/x - Step 3: Cross multiply
27,405,523,125,999x = 41,125,193,312,702 × 12,699,891,529,260 - Step 4: Simplify right side
27,405,523,125,999x = 522,285,494,191,164,114,639,781,888 - Step 5: Solve for x
x = 522,285,494,191,164,114,639,781,888/27,405,523,125,999 - Step 6: Final answer
x = 19,057,672,856,304.05
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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.