Finding the Fourth Proportional to 1,514,784,243,819.30, 2,090,403,383,485.70 and 820,330,192,345.80
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Solution
The fourth proportional to 1,514,784,243,819.30, 2,090,403,383,485.70 and 820,330,192,345.80 is: 1,132,056,275,771.31
Step by Step Solution
- Step 1: Write the proportion equation
1,514,784,243,819.30 : 2,090,403,383,485.70 = 820,330,192,345.80 : x - Step 2: Convert to fraction form
1,514,784,243,819.30/2,090,403,383,485.70 = 820,330,192,345.80/x - Step 3: Cross multiply
1,514,784,243,819.30x = 2,090,403,383,485.70 × 820,330,192,345.80 - Step 4: Simplify right side
1,514,784,243,819.30x = 1,714,821,009,655,135,354,224,640 - Step 5: Solve for x
x = 1,714,821,009,655,135,354,224,640/1,514,784,243,819.30 - Step 6: Final answer
x = 1,132,056,275,771.31
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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.