Finding the Fourth Proportional to 716,514,269,701.26, 1,074,922,349,925.70 and 232,430,691,347.84
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Solution
The fourth proportional to 716,514,269,701.26, 1,074,922,349,925.70 and 232,430,691,347.84 is: 348,695,002,323.74
Step by Step Solution
- Step 1: Write the proportion equation
716,514,269,701.26 : 1,074,922,349,925.70 = 232,430,691,347.84 : x - Step 2: Convert to fraction form
716,514,269,701.26/1,074,922,349,925.70 = 232,430,691,347.84/x - Step 3: Cross multiply
716,514,269,701.26x = 1,074,922,349,925.70 × 232,430,691,347.84 - Step 4: Simplify right side
716,514,269,701.26x = 249,844,944,938,475,230,068,736 - Step 5: Solve for x
x = 249,844,944,938,475,230,068,736/716,514,269,701.26 - Step 6: Final answer
x = 348,695,002,323.74
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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.