Finding the Fourth Proportional to 3,871,812,966,660.20, 5,343,570,424,305.40 and 2,203,633,941,224
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Solution
The fourth proportional to 3,871,812,966,660.20, 5,343,570,424,305.40 and 2,203,633,941,224 is: 3,041,281,501,899.97
Step by Step Solution
- Step 1: Write the proportion equation
3,871,812,966,660.20 : 5,343,570,424,305.40 = 2,203,633,941,224 : x - Step 2: Convert to fraction form
3,871,812,966,660.20/5,343,570,424,305.40 = 2,203,633,941,224/x - Step 3: Cross multiply
3,871,812,966,660.20x = 5,343,570,424,305.40 × 2,203,633,941,224 - Step 4: Simplify right side
3,871,812,966,660.20x = 11,775,273,154,320,112,461,807,616 - Step 5: Solve for x
x = 11,775,273,154,320,112,461,807,616/3,871,812,966,660.20 - Step 6: Final answer
x = 3,041,281,501,899.97
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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.