Finding the Fourth Proportional to 2,005,888,507.16, 2,995,325,525.68 and 1,638,153,478.58
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Solution
The fourth proportional to 2,005,888,507.16, 2,995,325,525.68 and 1,638,153,478.58 is: 2,446,199,233.83
Step by Step Solution
- Step 1: Write the proportion equation
2,005,888,507.16 : 2,995,325,525.68 = 1,638,153,478.58 : x - Step 2: Convert to fraction form
2,005,888,507.16/2,995,325,525.68 = 1,638,153,478.58/x - Step 3: Cross multiply
2,005,888,507.16x = 2,995,325,525.68 × 1,638,153,478.58 - Step 4: Simplify right side
2,005,888,507.16x = 4,906,802,929,372,158,976 - Step 5: Solve for x
x = 4,906,802,929,372,158,976/2,005,888,507.16 - Step 6: Final answer
x = 2,446,199,233.83
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.