Finding the Fourth Proportional to 2,521,997,815,837.20, 3,783,483,438,733.20 and 823,654,295,777.07
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Solution
The fourth proportional to 2,521,997,815,837.20, 3,783,483,438,733.20 and 823,654,295,777.07 is: 1,235,640,398,950.75
Step by Step Solution
- Step 1: Write the proportion equation
2,521,997,815,837.20 : 3,783,483,438,733.20 = 823,654,295,777.07 : x - Step 2: Convert to fraction form
2,521,997,815,837.20/3,783,483,438,733.20 = 823,654,295,777.07/x - Step 3: Cross multiply
2,521,997,815,837.20x = 3,783,483,438,733.20 × 823,654,295,777.07 - Step 4: Simplify right side
2,521,997,815,837.20x = 3,116,282,387,314,000,768,532,480 - Step 5: Solve for x
x = 3,116,282,387,314,000,768,532,480/2,521,997,815,837.20 - Step 6: Final answer
x = 1,235,640,398,950.75
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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.