Finding the Fourth Proportional to 1,514,784,243,826.10, 2,090,403,383,495.30 and 820,330,192,352.65
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Solution
The fourth proportional to 1,514,784,243,826.10, 2,090,403,383,495.30 and 820,330,192,352.65 is: 1,132,056,275,780.88
Step by Step Solution
- Step 1: Write the proportion equation
1,514,784,243,826.10 : 2,090,403,383,495.30 = 820,330,192,352.65 : x - Step 2: Convert to fraction form
1,514,784,243,826.10/2,090,403,383,495.30 = 820,330,192,352.65/x - Step 3: Cross multiply
1,514,784,243,826.10x = 2,090,403,383,495.30 × 820,330,192,352.65 - Step 4: Simplify right side
1,514,784,243,826.10x = 1,714,821,009,677,329,866,162,176 - Step 5: Solve for x
x = 1,714,821,009,677,329,866,162,176/1,514,784,243,826.10 - Step 6: Final answer
x = 1,132,056,275,780.88
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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.