Finding the Fourth Proportional to 16,184,448,166.20, 24,277,344,095.70 and 5,142,652,582.20
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Solution
The fourth proportional to 16,184,448,166.20, 24,277,344,095.70 and 5,142,652,582.20 is: 7,714,192,354.33
Step by Step Solution
- Step 1: Write the proportion equation
16,184,448,166.20 : 24,277,344,095.70 = 5,142,652,582.20 : x - Step 2: Convert to fraction form
16,184,448,166.20/24,277,344,095.70 = 5,142,652,582.20/x - Step 3: Cross multiply
16,184,448,166.20x = 24,277,344,095.70 × 5,142,652,582.20 - Step 4: Simplify right side
16,184,448,166.20x = 124,849,946,302,709,530,624 - Step 5: Solve for x
x = 124,849,946,302,709,530,624/16,184,448,166.20 - Step 6: Final answer
x = 7,714,192,354.33
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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.