Finding the Fourth Proportional to 482,188,277,520.90, 723,282,416,281.35 and 146,800,539,101.70
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Solution
The fourth proportional to 482,188,277,520.90, 723,282,416,281.35 and 146,800,539,101.70 is: 220,200,808,652.55
Step by Step Solution
- Step 1: Write the proportion equation
482,188,277,520.90 : 723,282,416,281.35 = 146,800,539,101.70 : x - Step 2: Convert to fraction form
482,188,277,520.90/723,282,416,281.35 = 146,800,539,101.70/x - Step 3: Cross multiply
482,188,277,520.90x = 723,282,416,281.35 × 146,800,539,101.70 - Step 4: Simplify right side
482,188,277,520.90x = 106,178,248,632,882,388,008,960 - Step 5: Solve for x
x = 106,178,248,632,882,388,008,960/482,188,277,520.90 - Step 6: Final answer
x = 220,200,808,652.55
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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.