Finding the Fourth Proportional to 5,613,572,944,756, 7,746,776,148,713.40 and 3,110,737,822,768.80
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Solution
The fourth proportional to 5,613,572,944,756, 7,746,776,148,713.40 and 3,110,737,822,768.80 is: 4,292,843,400,714.63
Step by Step Solution
- Step 1: Write the proportion equation
5,613,572,944,756 : 7,746,776,148,713.40 = 3,110,737,822,768.80 : x - Step 2: Convert to fraction form
5,613,572,944,756/7,746,776,148,713.40 = 3,110,737,822,768.80/x - Step 3: Cross multiply
5,613,572,944,756x = 7,746,776,148,713.40 × 3,110,737,822,768.80 - Step 4: Simplify right side
5,613,572,944,756x = 24,098,189,570,325,993,251,405,824 - Step 5: Solve for x
x = 24,098,189,570,325,993,251,405,824/5,613,572,944,756 - Step 6: Final answer
x = 4,292,843,400,714.63
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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.