Finding the Fourth Proportional to 61,148,710,359,666, 84,385,217,068,680 and 33,023,100,243,824
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Solution
The fourth proportional to 61,148,710,359,666, 84,385,217,068,680 and 33,023,100,243,824 is: 45,571,876,593,393.60
Step by Step Solution
- Step 1: Write the proportion equation
61,148,710,359,666 : 84,385,217,068,680 = 33,023,100,243,824 : x - Step 2: Convert to fraction form
61,148,710,359,666/84,385,217,068,680 = 33,023,100,243,824/x - Step 3: Cross multiply
61,148,710,359,666x = 84,385,217,068,680 × 33,023,100,243,824 - Step 4: Simplify right side
61,148,710,359,666x = 2,786,661,482,355,867,679,516,000,256 - Step 5: Solve for x
x = 2,786,661,482,355,867,679,516,000,256/61,148,710,359,666 - Step 6: Final answer
x = 45,571,876,593,393.60
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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.