Finding the Fourth Proportional to 51,199,723,843,611, 70,655,688,872,112 and 27,788,153,214,294
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Solution
The fourth proportional to 51,199,723,843,611, 70,655,688,872,112 and 27,788,153,214,294 is: 38,347,689,410,140.04
Step by Step Solution
- Step 1: Write the proportion equation
51,199,723,843,611 : 70,655,688,872,112 = 27,788,153,214,294 : x - Step 2: Convert to fraction form
51,199,723,843,611/70,655,688,872,112 = 27,788,153,214,294/x - Step 3: Cross multiply
51,199,723,843,611x = 70,655,688,872,112 × 27,788,153,214,294 - Step 4: Simplify right side
51,199,723,843,611x = 1,963,391,107,839,735,858,647,269,376 - Step 5: Solve for x
x = 1,963,391,107,839,735,858,647,269,376/51,199,723,843,611 - Step 6: Final answer
x = 38,347,689,410,140.04
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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.