Finding the Fourth Proportional to 10,563,024,161.43, 14,577,322,929.09 and 5,805,468,670.05
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Solution
The fourth proportional to 10,563,024,161.43, 14,577,322,929.09 and 5,805,468,670.05 is: 8,011,738,898.32
Step by Step Solution
- Step 1: Write the proportion equation
10,563,024,161.43 : 14,577,322,929.09 = 5,805,468,670.05 : x - Step 2: Convert to fraction form
10,563,024,161.43/14,577,322,929.09 = 5,805,468,670.05/x - Step 3: Cross multiply
10,563,024,161.43x = 14,577,322,929.09 × 5,805,468,670.05 - Step 4: Simplify right side
10,563,024,161.43x = 84,628,191,558,033,489,920 - Step 5: Solve for x
x = 84,628,191,558,033,489,920/10,563,024,161.43 - Step 6: Final answer
x = 8,011,738,898.32
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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.