Finding the Fourth Proportional to 986,866,837,870.32, 1,361,550,693,812 and 596,087,386,363.80
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Solution
The fourth proportional to 986,866,837,870.32, 1,361,550,693,812 and 596,087,386,363.80 is: 822,403,959,005.93
Step by Step Solution
- Step 1: Write the proportion equation
986,866,837,870.32 : 1,361,550,693,812 = 596,087,386,363.80 : x - Step 2: Convert to fraction form
986,866,837,870.32/1,361,550,693,812 = 596,087,386,363.80/x - Step 3: Cross multiply
986,866,837,870.32x = 1,361,550,693,812 × 596,087,386,363.80 - Step 4: Simplify right side
986,866,837,870.32x = 811,603,194,476,213,695,414,272 - Step 5: Solve for x
x = 811,603,194,476,213,695,414,272/986,866,837,870.32 - Step 6: Final answer
x = 822,403,959,005.93
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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.