Finding the Fourth Proportional to 4,084,358,827.75, 5,636,266,374.94 and 2,275,777,250.91
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Solution
The fourth proportional to 4,084,358,827.75, 5,636,266,374.94 and 2,275,777,250.91 is: 3,140,489,691.79
Step by Step Solution
- Step 1: Write the proportion equation
4,084,358,827.75 : 5,636,266,374.94 = 2,275,777,250.91 : x - Step 2: Convert to fraction form
4,084,358,827.75/5,636,266,374.94 = 2,275,777,250.91/x - Step 3: Cross multiply
4,084,358,827.75x = 5,636,266,374.94 × 2,275,777,250.91 - Step 4: Simplify right side
4,084,358,827.75x = 12,826,886,796,127,377,408 - Step 5: Solve for x
x = 12,826,886,796,127,377,408/4,084,358,827.75 - Step 6: Final answer
x = 3,140,489,691.79
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1.5x scale
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.