Finding the Fourth Proportional to 13,705,102,351,077, 20,553,292,046,230 and 4,524,450,779,825
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Solution
The fourth proportional to 13,705,102,351,077, 20,553,292,046,230 and 4,524,450,779,825 is: 6,785,236,318,882.99
Step by Step Solution
- Step 1: Write the proportion equation
13,705,102,351,077 : 20,553,292,046,230 = 4,524,450,779,825 : x - Step 2: Convert to fraction form
13,705,102,351,077/20,553,292,046,230 = 4,524,450,779,825/x - Step 3: Cross multiply
13,705,102,351,077x = 20,553,292,046,230 × 4,524,450,779,825 - Step 4: Simplify right side
13,705,102,351,077x = 92,992,358,226,536,295,032,684,544 - Step 5: Solve for x
x = 92,992,358,226,536,295,032,684,544/13,705,102,351,077 - Step 6: Final answer
x = 6,785,236,318,882.99
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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.