Finding the Fourth Proportional to 716,514,205,419.74, 1,074,922,253,382.50 and 232,430,627,308.70
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Solution
The fourth proportional to 716,514,205,419.74, 1,074,922,253,382.50 and 232,430,627,308.70 is: 348,694,906,216.71
Step by Step Solution
- Step 1: Write the proportion equation
716,514,205,419.74 : 1,074,922,253,382.50 = 232,430,627,308.70 : x - Step 2: Convert to fraction form
716,514,205,419.74/1,074,922,253,382.50 = 232,430,627,308.70/x - Step 3: Cross multiply
716,514,205,419.74x = 1,074,922,253,382.50 × 232,430,627,308.70 - Step 4: Simplify right side
716,514,205,419.74x = 249,844,853,661,775,863,742,464 - Step 5: Solve for x
x = 249,844,853,661,775,863,742,464/716,514,205,419.74 - Step 6: Final answer
x = 348,694,906,216.71
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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.