Finding the Fourth Proportional to 74,252,514,712.44, 102,468,481,357.14 and 40,420,066,661.40
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Solution
The fourth proportional to 74,252,514,712.44, 102,468,481,357.14 and 40,420,066,661.40 is: 55,779,698,010.07
Step by Step Solution
- Step 1: Write the proportion equation
74,252,514,712.44 : 102,468,481,357.14 = 40,420,066,661.40 : x - Step 2: Convert to fraction form
74,252,514,712.44/102,468,481,357.14 = 40,420,066,661.40/x - Step 3: Cross multiply
74,252,514,712.44x = 102,468,481,357.14 × 40,420,066,661.40 - Step 4: Simplify right side
74,252,514,712.44x = 4,141,782,847,148,022,300,672 - Step 5: Solve for x
x = 4,141,782,847,148,022,300,672/74,252,514,712.44 - Step 6: Final answer
x = 55,779,698,010.07
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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.