Finding the Fourth Proportional to 1,300,201,632,749.70, 1,950,302,449,124.50 and 848,314,374,380.10
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Solution
The fourth proportional to 1,300,201,632,749.70, 1,950,302,449,124.50 and 848,314,374,380.10 is: 1,272,471,561,570.12
Step by Step Solution
- Step 1: Write the proportion equation
1,300,201,632,749.70 : 1,950,302,449,124.50 = 848,314,374,380.10 : x - Step 2: Convert to fraction form
1,300,201,632,749.70/1,950,302,449,124.50 = 848,314,374,380.10/x - Step 3: Cross multiply
1,300,201,632,749.70x = 1,950,302,449,124.50 × 848,314,374,380.10 - Step 4: Simplify right side
1,300,201,632,749.70x = 1,654,469,601,981,026,936,029,184 - Step 5: Solve for x
x = 1,654,469,601,981,026,936,029,184/1,300,201,632,749.70 - Step 6: Final answer
x = 1,272,471,561,570.12
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1.5x scale
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.