Finding the Fourth Proportional to 56,027,248,428,315, 77,320,033,252,722 and 31,026,708,509,328
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Solution
The fourth proportional to 56,027,248,428,315, 77,320,033,252,722 and 31,026,708,509,328 is: 42,818,203,659,120.91
Step by Step Solution
- Step 1: Write the proportion equation
56,027,248,428,315 : 77,320,033,252,722 = 31,026,708,509,328 : x - Step 2: Convert to fraction form
56,027,248,428,315/77,320,033,252,722 = 31,026,708,509,328/x - Step 3: Cross multiply
56,027,248,428,315x = 77,320,033,252,722 × 31,026,708,509,328 - Step 4: Simplify right side
56,027,248,428,315x = 2,398,986,133,663,753,610,945,626,112 - Step 5: Solve for x
x = 2,398,986,133,663,753,610,945,626,112/56,027,248,428,315 - Step 6: Final answer
x = 42,818,203,659,120.91
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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.