Finding the Fourth Proportional to 6,073,135,935,265, 8,381,169,224,389.40 and 3,332,784,905,797.20
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Solution
The fourth proportional to 6,073,135,935,265, 8,381,169,224,389.40 and 3,332,784,905,797.20 is: 4,599,375,772,536.23
Step by Step Solution
- Step 1: Write the proportion equation
6,073,135,935,265 : 8,381,169,224,389.40 = 3,332,784,905,797.20 : x - Step 2: Convert to fraction form
6,073,135,935,265/8,381,169,224,389.40 = 3,332,784,905,797.20/x - Step 3: Cross multiply
6,073,135,935,265x = 8,381,169,224,389.40 × 3,332,784,905,797.20 - Step 4: Simplify right side
6,073,135,935,265x = 27,932,634,283,977,022,673,780,736 - Step 5: Solve for x
x = 27,932,634,283,977,022,673,780,736/6,073,135,935,265 - Step 6: Final answer
x = 4,599,375,772,536.23
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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.