Finding the Fourth Proportional to 8,138,866,896.20, 12,206,946,260.16 and 2,465,106,454.35
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Solution
The fourth proportional to 8,138,866,896.20, 12,206,946,260.16 and 2,465,106,454.35 is: 3,697,249,555.45
Step by Step Solution
- Step 1: Write the proportion equation
8,138,866,896.20 : 12,206,946,260.16 = 2,465,106,454.35 : x - Step 2: Convert to fraction form
8,138,866,896.20/12,206,946,260.16 = 2,465,106,454.35/x - Step 3: Cross multiply
8,138,866,896.20x = 12,206,946,260.16 × 2,465,106,454.35 - Step 4: Simplify right side
8,138,866,896.20x = 30,091,422,013,824,008,192 - Step 5: Solve for x
x = 30,091,422,013,824,008,192/8,138,866,896.20 - Step 6: Final answer
x = 3,697,249,555.45
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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.