Finding the Fourth Proportional to 1,514,784,243,851.90, 2,090,403,383,530.80 and 820,330,192,378.59
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Solution
The fourth proportional to 1,514,784,243,851.90, 2,090,403,383,530.80 and 820,330,192,378.59 is: 1,132,056,275,816.62
Step by Step Solution
- Step 1: Write the proportion equation
1,514,784,243,851.90 : 2,090,403,383,530.80 = 820,330,192,378.59 : x - Step 2: Convert to fraction form
1,514,784,243,851.90/2,090,403,383,530.80 = 820,330,192,378.59/x - Step 3: Cross multiply
1,514,784,243,851.90x = 2,090,403,383,530.80 × 820,330,192,378.59 - Step 4: Simplify right side
1,514,784,243,851.90x = 1,714,821,009,760,676,659,331,072 - Step 5: Solve for x
x = 1,714,821,009,760,676,659,331,072/1,514,784,243,851.90 - Step 6: Final answer
x = 1,132,056,275,816.62
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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.