Finding the Fourth Proportional to 1,514,784,243,851.40, 2,090,403,383,530.10 and 820,330,192,378.09
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Solution
The fourth proportional to 1,514,784,243,851.40, 2,090,403,383,530.10 and 820,330,192,378.09 is: 1,132,056,275,815.92
Step by Step Solution
- Step 1: Write the proportion equation
1,514,784,243,851.40 : 2,090,403,383,530.10 = 820,330,192,378.09 : x - Step 2: Convert to fraction form
1,514,784,243,851.40/2,090,403,383,530.10 = 820,330,192,378.09/x - Step 3: Cross multiply
1,514,784,243,851.40x = 2,090,403,383,530.10 × 820,330,192,378.09 - Step 4: Simplify right side
1,514,784,243,851.40x = 1,714,821,009,759,057,188,225,024 - Step 5: Solve for x
x = 1,714,821,009,759,057,188,225,024/1,514,784,243,851.40 - Step 6: Final answer
x = 1,132,056,275,815.92
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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.