Finding the Fourth Proportional to 27,405,523,126,002, 41,125,193,312,708 and 12,699,891,529,263
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Solution
The fourth proportional to 27,405,523,126,002, 41,125,193,312,708 and 12,699,891,529,263 is: 19,057,672,856,309.25
Step by Step Solution
- Step 1: Write the proportion equation
27,405,523,126,002 : 41,125,193,312,708 = 12,699,891,529,263 : x - Step 2: Convert to fraction form
27,405,523,126,002/41,125,193,312,708 = 12,699,891,529,263/x - Step 3: Cross multiply
27,405,523,126,002x = 41,125,193,312,708 × 12,699,891,529,263 - Step 4: Simplify right side
27,405,523,126,002x = 522,285,494,191,363,676,000,223,232 - Step 5: Solve for x
x = 522,285,494,191,363,676,000,223,232/27,405,523,126,002 - Step 6: Final answer
x = 19,057,672,856,309.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.