Finding the Fourth Proportional to 16,201,782,853.20, 24,264,453,684.60 and 10,010,046,430.80
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Solution
The fourth proportional to 16,201,782,853.20, 24,264,453,684.60 and 10,010,046,430.80 is: 14,991,455,582.49
Step by Step Solution
- Step 1: Write the proportion equation
16,201,782,853.20 : 24,264,453,684.60 = 10,010,046,430.80 : x - Step 2: Convert to fraction form
16,201,782,853.20/24,264,453,684.60 = 10,010,046,430.80/x - Step 3: Cross multiply
16,201,782,853.20x = 24,264,453,684.60 × 10,010,046,430.80 - Step 4: Simplify right side
16,201,782,853.20x = 242,888,308,000,842,121,216 - Step 5: Solve for x
x = 242,888,308,000,842,121,216/16,201,782,853.20 - Step 6: Final answer
x = 14,991,455,582.49
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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.