Finding the Fourth Proportional to 27,337,352,550,329, 37,725,583,877,825 and 14,837,082,783,162
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Solution
The fourth proportional to 27,337,352,550,329, 37,725,583,877,825 and 14,837,082,783,162 is: 20,475,194,516,656.84
Step by Step Solution
- Step 1: Write the proportion equation
27,337,352,550,329 : 37,725,583,877,825 = 14,837,082,783,162 : x - Step 2: Convert to fraction form
27,337,352,550,329/37,725,583,877,825 = 14,837,082,783,162/x - Step 3: Cross multiply
27,337,352,550,329x = 37,725,583,877,825 × 14,837,082,783,162 - Step 4: Simplify right side
27,337,352,550,329x = 559,737,611,038,411,228,308,307,968 - Step 5: Solve for x
x = 559,737,611,038,411,228,308,307,968/27,337,352,550,329 - Step 6: Final answer
x = 20,475,194,516,656.84
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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.