Finding the Fourth Proportional to 56,150,692,503,459, 77,488,046,812,018 and 31,150,153,231,060
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Solution
The fourth proportional to 56,150,692,503,459, 77,488,046,812,018 and 31,150,153,231,060 is: 42,987,262,029,247.78
Step by Step Solution
- Step 1: Write the proportion equation
56,150,692,503,459 : 77,488,046,812,018 = 31,150,153,231,060 : x - Step 2: Convert to fraction form
56,150,692,503,459/77,488,046,812,018 = 31,150,153,231,060/x - Step 3: Cross multiply
56,150,692,503,459x = 77,488,046,812,018 × 31,150,153,231,060 - Step 4: Simplify right side
56,150,692,503,459x = 2,413,764,531,769,911,030,759,555,072 - Step 5: Solve for x
x = 2,413,764,531,769,911,030,759,555,072/56,150,692,503,459 - Step 6: Final answer
x = 42,987,262,029,247.78
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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.