Finding the Fourth Proportional to 57,280,376,536,432, 79,061,627,075,216 and 37,307,132,631,152
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Solution
The fourth proportional to 57,280,376,536,432, 79,061,627,075,216 and 37,307,132,631,152 is: 51,493,422,105,103.54
Step by Step Solution
- Step 1: Write the proportion equation
57,280,376,536,432 : 79,061,627,075,216 = 37,307,132,631,152 : x - Step 2: Convert to fraction form
57,280,376,536,432/79,061,627,075,216 = 37,307,132,631,152/x - Step 3: Cross multiply
57,280,376,536,432x = 79,061,627,075,216 × 37,307,132,631,152 - Step 4: Simplify right side
57,280,376,536,432x = 2,949,562,607,329,761,420,233,408,512 - Step 5: Solve for x
x = 2,949,562,607,329,761,420,233,408,512/57,280,376,536,432 - Step 6: Final answer
x = 51,493,422,105,103.54
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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.