Finding the Fourth Proportional to 74,252,514,706.19, 102,468,481,348.52 and 40,420,066,655.15
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Solution
The fourth proportional to 74,252,514,706.19, 102,468,481,348.52 and 40,420,066,655.15 is: 55,779,698,001.45
Step by Step Solution
- Step 1: Write the proportion equation
74,252,514,706.19 : 102,468,481,348.52 = 40,420,066,655.15 : x - Step 2: Convert to fraction form
74,252,514,706.19/102,468,481,348.52 = 40,420,066,655.15/x - Step 3: Cross multiply
74,252,514,706.19x = 102,468,481,348.52 × 40,420,066,655.15 - Step 4: Simplify right side
74,252,514,706.19x = 4,141,782,846,159,173,189,632 - Step 5: Solve for x
x = 4,141,782,846,159,173,189,632/74,252,514,706.19 - Step 6: Final answer
x = 55,779,698,001.45
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1.5x scale
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.