Finding the Fourth Proportional to 716,514,269,700.93, 1,074,922,349,925.30 and 232,430,691,347.54
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Solution
The fourth proportional to 716,514,269,700.93, 1,074,922,349,925.30 and 232,430,691,347.54 is: 348,695,002,323.32
Step by Step Solution
- Step 1: Write the proportion equation
716,514,269,700.93 : 1,074,922,349,925.30 = 232,430,691,347.54 : x - Step 2: Convert to fraction form
716,514,269,700.93/1,074,922,349,925.30 = 232,430,691,347.54/x - Step 3: Cross multiply
716,514,269,700.93x = 1,074,922,349,925.30 × 232,430,691,347.54 - Step 4: Simplify right side
716,514,269,700.93x = 249,844,944,938,059,826,200,576 - Step 5: Solve for x
x = 249,844,944,938,059,826,200,576/716,514,269,700.93 - Step 6: Final answer
x = 348,695,002,323.32
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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.