Finding the Fourth Proportional to 107,209,881,258.20, 160,777,236,717.38 and 31,642,869,177.80
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Solution
The fourth proportional to 107,209,881,258.20, 160,777,236,717.38 and 31,642,869,177.80 is: 47,453,210,548.42
Step by Step Solution
- Step 1: Write the proportion equation
107,209,881,258.20 : 160,777,236,717.38 = 31,642,869,177.80 : x - Step 2: Convert to fraction form
107,209,881,258.20/160,777,236,717.38 = 31,642,869,177.80/x - Step 3: Cross multiply
107,209,881,258.20x = 160,777,236,717.38 × 31,642,869,177.80 - Step 4: Simplify right side
107,209,881,258.20x = 5,087,453,068,216,238,080,000 - Step 5: Solve for x
x = 5,087,453,068,216,238,080,000/107,209,881,258.20 - Step 6: Final answer
x = 47,453,210,548.42
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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.