Finding the Fourth Proportional to 13,593,132,288,897, 20,389,698,433,344 and 13,593,132,288,897
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Solution
The fourth proportional to 13,593,132,288,897, 20,389,698,433,344 and 13,593,132,288,897 is: 20,389,698,433,344
Step by Step Solution
- Step 1: Write the proportion equation
13,593,132,288,897 : 20,389,698,433,344 = 13,593,132,288,897 : x - Step 2: Convert to fraction form
13,593,132,288,897/20,389,698,433,344 = 13,593,132,288,897/x - Step 3: Cross multiply
13,593,132,288,897x = 20,389,698,433,344 × 13,593,132,288,897 - Step 4: Simplify right side
13,593,132,288,897x = 277,159,868,135,160,902,659,866,624 - Step 5: Solve for x
x = 277,159,868,135,160,902,659,866,624/13,593,132,288,897 - Step 6: Final answer
x = 20,389,698,433,344
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.