Finding the Fourth Proportional to 30,737,481,289,737, 46,104,598,101,834 and 10,082,140,559,921
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Solution
The fourth proportional to 30,737,481,289,737, 46,104,598,101,834 and 10,082,140,559,921 is: 15,122,678,209,699.68
Step by Step Solution
- Step 1: Write the proportion equation
30,737,481,289,737 : 46,104,598,101,834 = 10,082,140,559,921 : x - Step 2: Convert to fraction form
30,737,481,289,737/46,104,598,101,834 = 10,082,140,559,921/x - Step 3: Cross multiply
30,737,481,289,737x = 46,104,598,101,834 × 10,082,140,559,921 - Step 4: Simplify right side
30,737,481,289,737x = 464,833,038,521,357,318,068,633,600 - Step 5: Solve for x
x = 464,833,038,521,357,318,068,633,600/30,737,481,289,737 - Step 6: Final answer
x = 15,122,678,209,699.68
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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.