Finding the Fourth Proportional to 187,297,237,047.24, 258,469,535,388.09 and 101,658,202,567.12
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Solution
The fourth proportional to 187,297,237,047.24, 258,469,535,388.09 and 101,658,202,567.12 is: 140,287,965,803.17
Step by Step Solution
- Step 1: Write the proportion equation
187,297,237,047.24 : 258,469,535,388.09 = 101,658,202,567.12 : x - Step 2: Convert to fraction form
187,297,237,047.24/258,469,535,388.09 = 101,658,202,567.12/x - Step 3: Cross multiply
187,297,237,047.24x = 258,469,535,388.09 × 101,658,202,567.12 - Step 4: Simplify right side
187,297,237,047.24x = 26,275,548,385,911,844,634,624 - Step 5: Solve for x
x = 26,275,548,385,911,844,634,624/187,297,237,047.24 - Step 6: Final answer
x = 140,287,965,803.17
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1.5x scale
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.