Finding the Fourth Proportional to 27,337,352,550,328, 37,725,583,877,824 and 14,837,082,783,161
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Solution
The fourth proportional to 27,337,352,550,328, 37,725,583,877,824 and 14,837,082,783,161 is: 20,475,194,516,655.67
Step by Step Solution
- Step 1: Write the proportion equation
27,337,352,550,328 : 37,725,583,877,824 = 14,837,082,783,161 : x - Step 2: Convert to fraction form
27,337,352,550,328/37,725,583,877,824 = 14,837,082,783,161/x - Step 3: Cross multiply
27,337,352,550,328x = 37,725,583,877,824 × 14,837,082,783,161 - Step 4: Simplify right side
27,337,352,550,328x = 559,737,611,038,358,657,908,604,928 - Step 5: Solve for x
x = 559,737,611,038,358,657,908,604,928/27,337,352,550,328 - Step 6: Final answer
x = 20,475,194,516,655.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.