Finding the Fourth Proportional to 56,027,248,428,316, 77,320,033,252,724 and 31,026,708,509,330
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Solution
The fourth proportional to 56,027,248,428,316, 77,320,033,252,724 and 31,026,708,509,330 is: 42,818,203,659,124.02
Step by Step Solution
- Step 1: Write the proportion equation
56,027,248,428,316 : 77,320,033,252,724 = 31,026,708,509,330 : x - Step 2: Convert to fraction form
56,027,248,428,316/77,320,033,252,724 = 31,026,708,509,330/x - Step 3: Cross multiply
56,027,248,428,316x = 77,320,033,252,724 × 31,026,708,509,330 - Step 4: Simplify right side
56,027,248,428,316x = 2,398,986,133,663,970,214,736,297,984 - Step 5: Solve for x
x = 2,398,986,133,663,970,214,736,297,984/56,027,248,428,316 - Step 6: Final answer
x = 42,818,203,659,124.02
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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.