Finding the Fourth Proportional to 29,115,070,853,062, 40,180,060,768,012 and 16,123,312,174,935
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Solution
The fourth proportional to 29,115,070,853,062, 40,180,060,768,012 and 16,123,312,174,935 is: 22,250,870,219,070.20
Step by Step Solution
- Step 1: Write the proportion equation
29,115,070,853,062 : 40,180,060,768,012 = 16,123,312,174,935 : x - Step 2: Convert to fraction form
29,115,070,853,062/40,180,060,768,012 = 16,123,312,174,935/x - Step 3: Cross multiply
29,115,070,853,062x = 40,180,060,768,012 × 16,123,312,174,935 - Step 4: Simplify right side
29,115,070,853,062x = 647,835,662,970,516,056,433,491,968 - Step 5: Solve for x
x = 647,835,662,970,516,056,433,491,968/29,115,070,853,062 - Step 6: Final answer
x = 22,250,870,219,070.20
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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.