Finding the Fourth Proportional to 21,719,340,326,882, 32,542,143,337,160 and 13,105,689,159,112
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Solution
The fourth proportional to 21,719,340,326,882, 32,542,143,337,160 and 13,105,689,159,112 is: 19,636,287,692,413.20
Step by Step Solution
- Step 1: Write the proportion equation
21,719,340,326,882 : 32,542,143,337,160 = 13,105,689,159,112 : x - Step 2: Convert to fraction form
21,719,340,326,882/32,542,143,337,160 = 13,105,689,159,112/x - Step 3: Cross multiply
21,719,340,326,882x = 32,542,143,337,160 × 13,105,689,159,112 - Step 4: Simplify right side
21,719,340,326,882x = 426,487,215,148,086,581,102,903,296 - Step 5: Solve for x
x = 426,487,215,148,086,581,102,903,296/21,719,340,326,882 - Step 6: Final answer
x = 19,636,287,692,413.20
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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.