Finding the Fourth Proportional to 5,516,882,427.96, 7,617,635,648.80 and 4,441,770,626.76
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Solution
The fourth proportional to 5,516,882,427.96, 7,617,635,648.80 and 4,441,770,626.76 is: 6,133,136,007.89
Step by Step Solution
- Step 1: Write the proportion equation
5,516,882,427.96 : 7,617,635,648.80 = 4,441,770,626.76 : x - Step 2: Convert to fraction form
5,516,882,427.96/7,617,635,648.80 = 4,441,770,626.76/x - Step 3: Cross multiply
5,516,882,427.96x = 7,617,635,648.80 × 4,441,770,626.76 - Step 4: Simplify right side
5,516,882,427.96x = 33,835,790,270,199,697,408 - Step 5: Solve for x
x = 33,835,790,270,199,697,408/5,516,882,427.96 - Step 6: Final answer
x = 6,133,136,007.89
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1.5x scale
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.