Finding the Fourth Proportional to 4,033,244,077,478.40, 5,566,009,582,708.80 and 2,206,236,203,452
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Solution
The fourth proportional to 4,033,244,077,478.40, 5,566,009,582,708.80 and 2,206,236,203,452 is: 3,044,678,579,881.63
Step by Step Solution
- Step 1: Write the proportion equation
4,033,244,077,478.40 : 5,566,009,582,708.80 = 2,206,236,203,452 : x - Step 2: Convert to fraction form
4,033,244,077,478.40/5,566,009,582,708.80 = 2,206,236,203,452/x - Step 3: Cross multiply
4,033,244,077,478.40x = 5,566,009,582,708.80 × 2,206,236,203,452 - Step 4: Simplify right side
4,033,244,077,478.40x = 12,279,931,850,132,914,069,045,248 - Step 5: Solve for x
x = 12,279,931,850,132,914,069,045,248/4,033,244,077,478.40 - Step 6: Final answer
x = 3,044,678,579,881.63
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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.