Finding the Fourth Proportional to 99,861,804,502.96, 149,777,571,804.10 and 27,178,617,383.49
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Solution
The fourth proportional to 99,861,804,502.96, 149,777,571,804.10 and 27,178,617,383.49 is: 40,763,806,912.49
Step by Step Solution
- Step 1: Write the proportion equation
99,861,804,502.96 : 149,777,571,804.10 = 27,178,617,383.49 : x - Step 2: Convert to fraction form
99,861,804,502.96/149,777,571,804.10 = 27,178,617,383.49/x - Step 3: Cross multiply
99,861,804,502.96x = 149,777,571,804.10 × 27,178,617,383.49 - Step 4: Simplify right side
99,861,804,502.96x = 4,070,747,316,691,384,926,208 - Step 5: Solve for x
x = 4,070,747,316,691,384,926,208/99,861,804,502.96 - Step 6: Final answer
x = 40,763,806,912.49
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1.5x scale
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.