Finding the Fourth Proportional to 29,115,070,849,398, 40,180,060,762,962 and 16,123,312,171,264
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Solution
The fourth proportional to 29,115,070,849,398, 40,180,060,762,962 and 16,123,312,171,264 is: 22,250,870,214,007.64
Step by Step Solution
- Step 1: Write the proportion equation
29,115,070,849,398 : 40,180,060,762,962 = 16,123,312,171,264 : x - Step 2: Convert to fraction form
29,115,070,849,398/40,180,060,762,962 = 16,123,312,171,264/x - Step 3: Cross multiply
29,115,070,849,398x = 40,180,060,762,962 × 16,123,312,171,264 - Step 4: Simplify right side
29,115,070,849,398x = 647,835,662,741,592,237,972,389,888 - Step 5: Solve for x
x = 647,835,662,741,592,237,972,389,888/29,115,070,849,398 - Step 6: Final answer
x = 22,250,870,214,007.64
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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.