Finding the Fourth Proportional to 16,420,221,205.36, 22,661,594,181.37 and 9,990,497,651.50
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Solution
The fourth proportional to 16,420,221,205.36, 22,661,594,181.37 and 9,990,497,651.50 is: 13,787,914,341.52
Step by Step Solution
- Step 1: Write the proportion equation
16,420,221,205.36 : 22,661,594,181.37 = 9,990,497,651.50 : x - Step 2: Convert to fraction form
16,420,221,205.36/22,661,594,181.37 = 9,990,497,651.50/x - Step 3: Cross multiply
16,420,221,205.36x = 22,661,594,181.37 × 9,990,497,651.50 - Step 4: Simplify right side
16,420,221,205.36x = 226,400,603,448,318,230,528 - Step 5: Solve for x
x = 226,400,603,448,318,230,528/16,420,221,205.36 - Step 6: Final answer
x = 13,787,914,341.52
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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.