Finding the Fourth Proportional to 716,514,205,422.24, 1,074,922,253,386.20 and 232,430,627,311.20
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Solution
The fourth proportional to 716,514,205,422.24, 1,074,922,253,386.20 and 232,430,627,311.20 is: 348,694,906,220.44
Step by Step Solution
- Step 1: Write the proportion equation
716,514,205,422.24 : 1,074,922,253,386.20 = 232,430,627,311.20 : x - Step 2: Convert to fraction form
716,514,205,422.24/1,074,922,253,386.20 = 232,430,627,311.20/x - Step 3: Cross multiply
716,514,205,422.24x = 1,074,922,253,386.20 × 232,430,627,311.20 - Step 4: Simplify right side
716,514,205,422.24x = 249,844,853,665,323,137,630,208 - Step 5: Solve for x
x = 249,844,853,665,323,137,630,208/716,514,205,422.24 - Step 6: Final answer
x = 348,694,906,220.44
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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.