Finding the Fourth Proportional to 1,588,886,044,341.20, 2,383,707,860,394.10 and 514,442,288,633.75
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Solution
The fourth proportional to 1,588,886,044,341.20, 2,383,707,860,394.10 and 514,442,288,633.75 is: 771,786,077,109.04
Step by Step Solution
- Step 1: Write the proportion equation
1,588,886,044,341.20 : 2,383,707,860,394.10 = 514,442,288,633.75 : x - Step 2: Convert to fraction form
1,588,886,044,341.20/2,383,707,860,394.10 = 514,442,288,633.75/x - Step 3: Cross multiply
1,588,886,044,341.20x = 2,383,707,860,394.10 × 514,442,288,633.75 - Step 4: Simplify right side
1,588,886,044,341.20x = 1,226,280,127,135,400,218,066,944 - Step 5: Solve for x
x = 1,226,280,127,135,400,218,066,944/1,588,886,044,341.20 - Step 6: Final answer
x = 771,786,077,109.04
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.