Finding the Fourth Proportional to 12,282,920,514,883, 16,950,963,134,778 and 6,802,022,322,546
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Solution
The fourth proportional to 12,282,920,514,883, 16,950,963,134,778 and 6,802,022,322,546 is: 9,387,085,871,939.52
Step by Step Solution
- Step 1: Write the proportion equation
12,282,920,514,883 : 16,950,963,134,778 = 6,802,022,322,546 : x - Step 2: Convert to fraction form
12,282,920,514,883/16,950,963,134,778 = 6,802,022,322,546/x - Step 3: Cross multiply
12,282,920,514,883x = 16,950,963,134,778 × 6,802,022,322,546 - Step 4: Simplify right side
12,282,920,514,883x = 115,300,829,631,414,269,282,091,008 - Step 5: Solve for x
x = 115,300,829,631,414,269,282,091,008/12,282,920,514,883 - Step 6: Final answer
x = 9,387,085,871,939.52
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.