Finding the Fourth Proportional to 4,299,214,070,500.20, 6,448,845,215,277 and 1,434,021,993,526.90
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Solution
The fourth proportional to 4,299,214,070,500.20, 6,448,845,215,277 and 1,434,021,993,526.90 is: 2,151,041,032,130.32
Step by Step Solution
- Step 1: Write the proportion equation
4,299,214,070,500.20 : 6,448,845,215,277 = 1,434,021,993,526.90 : x - Step 2: Convert to fraction form
4,299,214,070,500.20/6,448,845,215,277 = 1,434,021,993,526.90/x - Step 3: Cross multiply
4,299,214,070,500.20x = 6,448,845,215,277 × 1,434,021,993,526.90 - Step 4: Simplify right side
4,299,214,070,500.20x = 9,247,785,871,557,933,995,655,168 - Step 5: Solve for x
x = 9,247,785,871,557,933,995,655,168/4,299,214,070,500.20 - Step 6: Final answer
x = 2,151,041,032,130.32
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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.