Finding the Fourth Proportional to 3,935,013,143.64, 5,430,313,536.84 and 2,150,878,314.12
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Solution
The fourth proportional to 3,935,013,143.64, 5,430,313,536.84 and 2,150,878,314.12 is: 2,968,209,558.37
Step by Step Solution
- Step 1: Write the proportion equation
3,935,013,143.64 : 5,430,313,536.84 = 2,150,878,314.12 : x - Step 2: Convert to fraction form
3,935,013,143.64/5,430,313,536.84 = 2,150,878,314.12/x - Step 3: Cross multiply
3,935,013,143.64x = 5,430,313,536.84 × 2,150,878,314.12 - Step 4: Simplify right side
3,935,013,143.64x = 11,679,943,625,261,432,832 - Step 5: Solve for x
x = 11,679,943,625,261,432,832/3,935,013,143.64 - Step 6: Final answer
x = 2,968,209,558.37
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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.