Finding the Fourth Proportional to 2,102,360,716.92, 2,901,276,587.70 and 1,162,626,587.40
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Solution
The fourth proportional to 2,102,360,716.92, 2,901,276,587.70 and 1,162,626,587.40 is: 1,604,435,086.29
Step by Step Solution
- Step 1: Write the proportion equation
2,102,360,716.92 : 2,901,276,587.70 = 1,162,626,587.40 : x - Step 2: Convert to fraction form
2,102,360,716.92/2,901,276,587.70 = 1,162,626,587.40/x - Step 3: Cross multiply
2,102,360,716.92x = 2,901,276,587.70 × 1,162,626,587.40 - Step 4: Simplify right side
2,102,360,716.92x = 3,373,101,298,261,167,616 - Step 5: Solve for x
x = 3,373,101,298,261,167,616/2,102,360,716.92 - Step 6: Final answer
x = 1,604,435,086.29
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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.