Finding the Fourth Proportional to 2,178,252,205.20, 3,267,378,307.80 and 542,476,807.20
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Solution
The fourth proportional to 2,178,252,205.20, 3,267,378,307.80 and 542,476,807.20 is: 813,715,210.80
Step by Step Solution
- Step 1: Write the proportion equation
2,178,252,205.20 : 3,267,378,307.80 = 542,476,807.20 : x - Step 2: Convert to fraction form
2,178,252,205.20/3,267,378,307.80 = 542,476,807.20/x - Step 3: Cross multiply
2,178,252,205.20x = 3,267,378,307.80 × 542,476,807.20 - Step 4: Simplify right side
2,178,252,205.20x = 1,772,476,952,329,883,136 - Step 5: Solve for x
x = 1,772,476,952,329,883,136/2,178,252,205.20 - Step 6: Final answer
x = 813,715,210.80
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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.