Finding the Fourth Proportional to 29,115,070,852,970, 40,180,060,767,894 and 16,123,312,174,844
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Solution
The fourth proportional to 29,115,070,852,970, 40,180,060,767,894 and 16,123,312,174,844 is: 22,250,870,218,949.58
Step by Step Solution
- Step 1: Write the proportion equation
29,115,070,852,970 : 40,180,060,767,894 = 16,123,312,174,844 : x - Step 2: Convert to fraction form
29,115,070,852,970/40,180,060,767,894 = 16,123,312,174,844/x - Step 3: Cross multiply
29,115,070,852,970x = 40,180,060,767,894 × 16,123,312,174,844 - Step 4: Simplify right side
29,115,070,852,970x = 647,835,662,964,957,063,082,409,984 - Step 5: Solve for x
x = 647,835,662,964,957,063,082,409,984/29,115,070,852,970 - Step 6: Final answer
x = 22,250,870,218,949.58
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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.