Finding the Fourth Proportional to 29,115,070,852,975, 40,180,060,767,901 and 16,123,312,174,849
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Solution
The fourth proportional to 29,115,070,852,975, 40,180,060,767,901 and 16,123,312,174,849 is: 22,250,870,218,956.54
Step by Step Solution
- Step 1: Write the proportion equation
29,115,070,852,975 : 40,180,060,767,901 = 16,123,312,174,849 : x - Step 2: Convert to fraction form
29,115,070,852,975/40,180,060,767,901 = 16,123,312,174,849/x - Step 3: Cross multiply
29,115,070,852,975x = 40,180,060,767,901 × 16,123,312,174,849 - Step 4: Simplify right side
29,115,070,852,975x = 647,835,662,965,270,836,213,186,560 - Step 5: Solve for x
x = 647,835,662,965,270,836,213,186,560/29,115,070,852,975 - Step 6: Final answer
x = 22,250,870,218,956.54
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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.