Finding the Fourth Proportional to 3,193,092,026,371.60, 4,789,638,094,892.10 and 775,576,558,072.99
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Solution
The fourth proportional to 3,193,092,026,371.60, 4,789,638,094,892.10 and 775,576,558,072.99 is: 1,163,364,850,549.84
Step by Step Solution
- Step 1: Write the proportion equation
3,193,092,026,371.60 : 4,789,638,094,892.10 = 775,576,558,072.99 : x - Step 2: Convert to fraction form
3,193,092,026,371.60/4,789,638,094,892.10 = 775,576,558,072.99/x - Step 3: Cross multiply
3,193,092,026,371.60x = 4,789,638,094,892.10 × 775,576,558,072.99 - Step 4: Simplify right side
3,193,092,026,371.60x = 3,714,731,028,051,687,557,300,224 - Step 5: Solve for x
x = 3,714,731,028,051,687,557,300,224/3,193,092,026,371.60 - Step 6: Final answer
x = 1,163,364,850,549.84
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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.