Finding the Fourth Proportional to 27,337,352,550,293, 37,725,583,877,773 and 14,837,082,783,127
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Solution
The fourth proportional to 27,337,352,550,293, 37,725,583,877,773 and 14,837,082,783,127 is: 20,475,194,516,607.28
Step by Step Solution
- Step 1: Write the proportion equation
27,337,352,550,293 : 37,725,583,877,773 = 14,837,082,783,127 : x - Step 2: Convert to fraction form
27,337,352,550,293/37,725,583,877,773 = 14,837,082,783,127/x - Step 3: Cross multiply
27,337,352,550,293x = 37,725,583,877,773 × 14,837,082,783,127 - Step 4: Simplify right side
27,337,352,550,293x = 559,737,611,036,319,269,997,510,656 - Step 5: Solve for x
x = 559,737,611,036,319,269,997,510,656/27,337,352,550,293 - Step 6: Final answer
x = 20,475,194,516,607.28
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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.