Finding the Fourth Proportional to 360,232,718.16, 497,121,576.18 and 195,220,287.66
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Solution
The fourth proportional to 360,232,718.16, 497,121,576.18 and 195,220,287.66 is: 269,404,227.35
Step by Step Solution
- Step 1: Write the proportion equation
360,232,718.16 : 497,121,576.18 = 195,220,287.66 : x - Step 2: Convert to fraction form
360,232,718.16/497,121,576.18 = 195,220,287.66/x - Step 3: Cross multiply
360,232,718.16x = 497,121,576.18 × 195,220,287.66 - Step 4: Simplify right side
360,232,718.16x = 97,048,217,103,852,208 - Step 5: Solve for x
x = 97,048,217,103,852,208/360,232,718.16 - Step 6: Final answer
x = 269,404,227.35
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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.