Finding the Fourth Proportional to 825,843,116,544.09, 1,139,512,211,235.50 and 460,028,216,249.67
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Solution
The fourth proportional to 825,843,116,544.09, 1,139,512,211,235.50 and 460,028,216,249.67 is: 634,754,663,964.56
Step by Step Solution
- Step 1: Write the proportion equation
825,843,116,544.09 : 1,139,512,211,235.50 = 460,028,216,249.67 : x - Step 2: Convert to fraction form
825,843,116,544.09/1,139,512,211,235.50 = 460,028,216,249.67/x - Step 3: Cross multiply
825,843,116,544.09x = 1,139,512,211,235.50 × 460,028,216,249.67 - Step 4: Simplify right side
825,843,116,544.09x = 524,207,769,929,384,187,658,240 - Step 5: Solve for x
x = 524,207,769,929,384,187,658,240/825,843,116,544.09 - Step 6: Final answer
x = 634,754,663,964.56
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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.