Finding the Fourth Proportional to 2,649,011,340.96, 3,654,486,989.73 and 1,576,713,410.10
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Solution
The fourth proportional to 2,649,011,340.96, 3,654,486,989.73 and 1,576,713,410.10 is: 2,175,180,813.55
Step by Step Solution
- Step 1: Write the proportion equation
2,649,011,340.96 : 3,654,486,989.73 = 1,576,713,410.10 : x - Step 2: Convert to fraction form
2,649,011,340.96/3,654,486,989.73 = 1,576,713,410.10/x - Step 3: Cross multiply
2,649,011,340.96x = 3,654,486,989.73 × 1,576,713,410.10 - Step 4: Simplify right side
2,649,011,340.96x = 5,762,078,643,743,271,936 - Step 5: Solve for x
x = 5,762,078,643,743,271,936/2,649,011,340.96 - Step 6: Final answer
x = 2,175,180,813.55
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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.