Finding the Fourth Proportional to 1,514,784,243,827.10, 2,090,403,383,496.70 and 820,330,192,353.65
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Solution
The fourth proportional to 1,514,784,243,827.10, 2,090,403,383,496.70 and 820,330,192,353.65 is: 1,132,056,275,782.27
Step by Step Solution
- Step 1: Write the proportion equation
1,514,784,243,827.10 : 2,090,403,383,496.70 = 820,330,192,353.65 : x - Step 2: Convert to fraction form
1,514,784,243,827.10/2,090,403,383,496.70 = 820,330,192,353.65/x - Step 3: Cross multiply
1,514,784,243,827.10x = 2,090,403,383,496.70 × 820,330,192,353.65 - Step 4: Simplify right side
1,514,784,243,827.10x = 1,714,821,009,680,568,808,374,272 - Step 5: Solve for x
x = 1,714,821,009,680,568,808,374,272/1,514,784,243,827.10 - Step 6: Final answer
x = 1,132,056,275,782.27
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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.