Finding the Fourth Proportional to 149,365,941,546.54, 206,125,620,360.27 and 80,777,354,659.98
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Solution
The fourth proportional to 149,365,941,546.54, 206,125,620,360.27 and 80,777,354,659.98 is: 111,473,085,282.71
Step by Step Solution
- Step 1: Write the proportion equation
149,365,941,546.54 : 206,125,620,360.27 = 80,777,354,659.98 : x - Step 2: Convert to fraction form
149,365,941,546.54/206,125,620,360.27 = 80,777,354,659.98/x - Step 3: Cross multiply
149,365,941,546.54x = 206,125,620,360.27 × 80,777,354,659.98 - Step 4: Simplify right side
149,365,941,546.54x = 16,650,282,340,349,921,722,368 - Step 5: Solve for x
x = 16,650,282,340,349,921,722,368/149,365,941,546.54 - Step 6: Final answer
x = 111,473,085,282.71
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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.