Finding the Fourth Proportional to 1,719,267,572,514.40, 2,578,901,358,771.70 and 824,446,773,743.20
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Solution
The fourth proportional to 1,719,267,572,514.40, 2,578,901,358,771.70 and 824,446,773,743.20 is: 1,236,670,160,614.85
Step by Step Solution
- Step 1: Write the proportion equation
1,719,267,572,514.40 : 2,578,901,358,771.70 = 824,446,773,743.20 : x - Step 2: Convert to fraction form
1,719,267,572,514.40/2,578,901,358,771.70 = 824,446,773,743.20/x - Step 3: Cross multiply
1,719,267,572,514.40x = 2,578,901,358,771.70 × 824,446,773,743.20 - Step 4: Simplify right side
1,719,267,572,514.40x = 2,126,166,905,041,282,935,029,760 - Step 5: Solve for x
x = 2,126,166,905,041,282,935,029,760/1,719,267,572,514.40 - Step 6: Final answer
x = 1,236,670,160,614.85
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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.