Finding the Fourth Proportional to 207,547,325,948.88, 286,407,633,852.36 and 112,498,125,247.44
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Solution
The fourth proportional to 207,547,325,948.88, 286,407,633,852.36 and 112,498,125,247.44 is: 155,243,252,196.28
Step by Step Solution
- Step 1: Write the proportion equation
207,547,325,948.88 : 286,407,633,852.36 = 112,498,125,247.44 : x - Step 2: Convert to fraction form
207,547,325,948.88/286,407,633,852.36 = 112,498,125,247.44/x - Step 3: Cross multiply
207,547,325,948.88x = 286,407,633,852.36 × 112,498,125,247.44 - Step 4: Simplify right side
207,547,325,948.88x = 32,220,321,864,945,728,749,568 - Step 5: Solve for x
x = 32,220,321,864,945,728,749,568/207,547,325,948.88 - Step 6: Final answer
x = 155,243,252,196.28
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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.