Finding the Fourth Proportional to 16,184,448,124.20, 24,277,344,032.70 and 5,142,652,540.20
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Solution
The fourth proportional to 16,184,448,124.20, 24,277,344,032.70 and 5,142,652,540.20 is: 7,714,192,291.33
Step by Step Solution
- Step 1: Write the proportion equation
16,184,448,124.20 : 24,277,344,032.70 = 5,142,652,540.20 : x - Step 2: Convert to fraction form
16,184,448,124.20/24,277,344,032.70 = 5,142,652,540.20/x - Step 3: Cross multiply
16,184,448,124.20x = 24,277,344,032.70 × 5,142,652,540.20 - Step 4: Simplify right side
16,184,448,124.20x = 124,849,944,959,073,959,936 - Step 5: Solve for x
x = 124,849,944,959,073,959,936/16,184,448,124.20 - Step 6: Final answer
x = 7,714,192,291.33
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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.