Finding the Fourth Proportional to 195,905,577,642.30, 270,349,034,174.84 and 110,266,493,771.52
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Solution
The fourth proportional to 195,905,577,642.30, 270,349,034,174.84 and 110,266,493,771.52 is: 152,167,388,247.65
Step by Step Solution
- Step 1: Write the proportion equation
195,905,577,642.30 : 270,349,034,174.84 = 110,266,493,771.52 : x - Step 2: Convert to fraction form
195,905,577,642.30/270,349,034,174.84 = 110,266,493,771.52/x - Step 3: Cross multiply
195,905,577,642.30x = 270,349,034,174.84 × 110,266,493,771.52 - Step 4: Simplify right side
195,905,577,642.30x = 29,810,440,092,976,441,982,976 - Step 5: Solve for x
x = 29,810,440,092,976,441,982,976/195,905,577,642.30 - Step 6: Final answer
x = 152,167,388,247.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.