Finding the Fourth Proportional to 291,106,382,571.29, 401,747,596,044.36 and 160,892,435,944.95
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Solution
The fourth proportional to 291,106,382,571.29, 401,747,596,044.36 and 160,892,435,944.95 is: 222,043,051,037.45
Step by Step Solution
- Step 1: Write the proportion equation
291,106,382,571.29 : 401,747,596,044.36 = 160,892,435,944.95 : x - Step 2: Convert to fraction form
291,106,382,571.29/401,747,596,044.36 = 160,892,435,944.95/x - Step 3: Cross multiply
291,106,382,571.29x = 401,747,596,044.36 × 160,892,435,944.95 - Step 4: Simplify right side
291,106,382,571.29x = 64,638,149,362,604,841,107,456 - Step 5: Solve for x
x = 64,638,149,362,604,841,107,456/291,106,382,571.29 - Step 6: Final answer
x = 222,043,051,037.45
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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.