Finding the Fourth Proportional to 1,302,419,638.36, 1,797,350,452.80 and 707,704,120.68
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Solution
The fourth proportional to 1,302,419,638.36, 1,797,350,452.80 and 707,704,120.68 is: 976,637,854.87
Step by Step Solution
- Step 1: Write the proportion equation
1,302,419,638.36 : 1,797,350,452.80 = 707,704,120.68 : x - Step 2: Convert to fraction form
1,302,419,638.36/1,797,350,452.80 = 707,704,120.68/x - Step 3: Cross multiply
1,302,419,638.36x = 1,797,350,452.80 × 707,704,120.68 - Step 4: Simplify right side
1,302,419,638.36x = 1,271,992,321,752,623,616 - Step 5: Solve for x
x = 1,271,992,321,752,623,616/1,302,419,638.36 - Step 6: Final answer
x = 976,637,854.87
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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.