Finding the Fourth Proportional to 3,195,577,664,808.20, 4,792,882,178,878.70 and 869,715,676,876.80
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Solution
The fourth proportional to 3,195,577,664,808.20, 4,792,882,178,878.70 and 869,715,676,876.80 is: 1,304,441,702,137.27
Step by Step Solution
- Step 1: Write the proportion equation
3,195,577,664,808.20 : 4,792,882,178,878.70 = 869,715,676,876.80 : x - Step 2: Convert to fraction form
3,195,577,664,808.20/4,792,882,178,878.70 = 869,715,676,876.80/x - Step 3: Cross multiply
3,195,577,664,808.20x = 4,792,882,178,878.70 × 869,715,676,876.80 - Step 4: Simplify right side
3,195,577,664,808.20x = 4,168,444,768,394,240,921,174,016 - Step 5: Solve for x
x = 4,168,444,768,394,240,921,174,016/3,195,577,664,808.20 - Step 6: Final answer
x = 1,304,441,702,137.27
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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.