Finding the Fourth Proportional to 61,148,710,358,944, 84,385,217,067,676 and 33,023,100,243,100
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Solution
The fourth proportional to 61,148,710,358,944, 84,385,217,067,676 and 33,023,100,243,100 is: 45,571,876,592,390.35
Step by Step Solution
- Step 1: Write the proportion equation
61,148,710,358,944 : 84,385,217,067,676 = 33,023,100,243,100 : x - Step 2: Convert to fraction form
61,148,710,358,944/84,385,217,067,676 = 33,023,100,243,100/x - Step 3: Cross multiply
61,148,710,358,944x = 84,385,217,067,676 × 33,023,100,243,100 - Step 4: Simplify right side
61,148,710,358,944x = 2,786,661,482,261,617,542,783,041,536 - Step 5: Solve for x
x = 2,786,661,482,261,617,542,783,041,536/61,148,710,358,944 - Step 6: Final answer
x = 45,571,876,592,390.35
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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.