Finding the Fourth Proportional to 194,638,084,345.71, 292,041,027,076.16 and 105,083,296,745.99
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Solution
The fourth proportional to 194,638,084,345.71, 292,041,027,076.16 and 105,083,296,745.99 is: 157,670,242,251.97
Step by Step Solution
- Step 1: Write the proportion equation
194,638,084,345.71 : 292,041,027,076.16 = 105,083,296,745.99 : x - Step 2: Convert to fraction form
194,638,084,345.71/292,041,027,076.16 = 105,083,296,745.99/x - Step 3: Cross multiply
194,638,084,345.71x = 292,041,027,076.16 × 105,083,296,745.99 - Step 4: Simplify right side
194,638,084,345.71x = 30,688,633,910,247,819,313,152 - Step 5: Solve for x
x = 30,688,633,910,247,819,313,152/194,638,084,345.71 - Step 6: Final answer
x = 157,670,242,251.97
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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.