Finding the Fourth Proportional to 285,369,715,222.56, 428,044,878,164.16 and 73,135,931,692.32
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Solution
The fourth proportional to 285,369,715,222.56, 428,044,878,164.16 and 73,135,931,692.32 is: 109,701,412,941.62
Step by Step Solution
- Step 1: Write the proportion equation
285,369,715,222.56 : 428,044,878,164.16 = 73,135,931,692.32 : x - Step 2: Convert to fraction form
285,369,715,222.56/428,044,878,164.16 = 73,135,931,692.32/x - Step 3: Cross multiply
285,369,715,222.56x = 428,044,878,164.16 × 73,135,931,692.32 - Step 4: Simplify right side
285,369,715,222.56x = 31,305,460,970,661,443,796,992 - Step 5: Solve for x
x = 31,305,460,970,661,443,796,992/285,369,715,222.56 - Step 6: Final answer
x = 109,701,412,941.62
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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.