Finding the Fourth Proportional to 7,680,479,680,998.80, 11,521,396,793,826 and 2,166,943,969,893.70
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Solution
The fourth proportional to 7,680,479,680,998.80, 11,521,396,793,826 and 2,166,943,969,893.70 is: 3,250,607,038,112.38
Step by Step Solution
- Step 1: Write the proportion equation
7,680,479,680,998.80 : 11,521,396,793,826 = 2,166,943,969,893.70 : x - Step 2: Convert to fraction form
7,680,479,680,998.80/11,521,396,793,826 = 2,166,943,969,893.70/x - Step 3: Cross multiply
7,680,479,680,998.80x = 11,521,396,793,826 × 2,166,943,969,893.70 - Step 4: Simplify right side
7,680,479,680,998.80x = 24,966,221,307,133,860,119,576,576 - Step 5: Solve for x
x = 24,966,221,307,133,860,119,576,576/7,680,479,680,998.80 - Step 6: Final answer
x = 3,250,607,038,112.38
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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.