Finding the Fourth Proportional to 1,683,033,224.30, 2,524,549,836.45 and 456,201,675.80
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Solution
The fourth proportional to 1,683,033,224.30, 2,524,549,836.45 and 456,201,675.80 is: 684,302,513.70
Step by Step Solution
- Step 1: Write the proportion equation
1,683,033,224.30 : 2,524,549,836.45 = 456,201,675.80 : x - Step 2: Convert to fraction form
1,683,033,224.30/2,524,549,836.45 = 456,201,675.80/x - Step 3: Cross multiply
1,683,033,224.30x = 2,524,549,836.45 × 456,201,675.80 - Step 4: Simplify right side
1,683,033,224.30x = 1,151,703,866,029,105,920 - Step 5: Solve for x
x = 1,151,703,866,029,105,920/1,683,033,224.30 - Step 6: Final answer
x = 684,302,513.70
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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.