Finding the Fourth Proportional to 27,813,430,128,316, 41,720,135,372,968 and 7,438,257,292,786.40
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Solution
The fourth proportional to 27,813,430,128,316, 41,720,135,372,968 and 7,438,257,292,786.40 is: 11,157,383,313,109.69
Step by Step Solution
- Step 1: Write the proportion equation
27,813,430,128,316 : 41,720,135,372,968 = 7,438,257,292,786.40 : x - Step 2: Convert to fraction form
27,813,430,128,316/41,720,135,372,968 = 7,438,257,292,786.40/x - Step 3: Cross multiply
27,813,430,128,316x = 41,720,135,372,968 × 7,438,257,292,786.40 - Step 4: Simplify right side
27,813,430,128,316x = 310,325,101,194,015,124,727,267,328 - Step 5: Solve for x
x = 310,325,101,194,015,124,727,267,328/27,813,430,128,316 - Step 6: Final answer
x = 11,157,383,313,109.69
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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.