Finding the Fourth Proportional to 1,016,640,992,689.50, 1,403,117,096,879.80 and 772,368,498,398.84
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Solution
The fourth proportional to 1,016,640,992,689.50, 1,403,117,096,879.80 and 772,368,498,398.84 is: 1,065,984,406,479.45
Step by Step Solution
- Step 1: Write the proportion equation
1,016,640,992,689.50 : 1,403,117,096,879.80 = 772,368,498,398.84 : x - Step 2: Convert to fraction form
1,016,640,992,689.50/1,403,117,096,879.80 = 772,368,498,398.84/x - Step 3: Cross multiply
1,016,640,992,689.50x = 1,403,117,096,879.80 × 772,368,498,398.84 - Step 4: Simplify right side
1,016,640,992,689.50x = 1,083,723,445,194,790,803,603,456 - Step 5: Solve for x
x = 1,083,723,445,194,790,803,603,456/1,016,640,992,689.50 - Step 6: Final answer
x = 1,065,984,406,479.45
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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.