Finding the Fourth Proportional to 8,138,866,902.13, 12,206,946,268.99 and 2,465,106,460.28
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Solution
The fourth proportional to 8,138,866,902.13, 12,206,946,268.99 and 2,465,106,460.28 is: 3,697,249,564.33
Step by Step Solution
- Step 1: Write the proportion equation
8,138,866,902.13 : 12,206,946,268.99 = 2,465,106,460.28 : x - Step 2: Convert to fraction form
8,138,866,902.13/12,206,946,268.99 = 2,465,106,460.28/x - Step 3: Cross multiply
8,138,866,902.13x = 12,206,946,268.99 × 2,465,106,460.28 - Step 4: Simplify right side
8,138,866,902.13x = 30,091,422,107,987,902,464 - Step 5: Solve for x
x = 30,091,422,107,987,902,464/8,138,866,902.13 - Step 6: Final answer
x = 3,697,249,564.33
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1.5x scale
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.