Finding the Fourth Proportional to 29,770,947,812,810, 44,656,505,496,560 and 11,418,688,943,704
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Solution
The fourth proportional to 29,770,947,812,810, 44,656,505,496,560 and 11,418,688,943,704 is: 17,128,065,548,474.61
Step by Step Solution
- Step 1: Write the proportion equation
29,770,947,812,810 : 44,656,505,496,560 = 11,418,688,943,704 : x - Step 2: Convert to fraction form
29,770,947,812,810/44,656,505,496,560 = 11,418,688,943,704/x - Step 3: Cross multiply
29,770,947,812,810x = 44,656,505,496,560 × 11,418,688,943,704 - Step 4: Simplify right side
29,770,947,812,810x = 509,918,745,578,026,561,806,794,752 - Step 5: Solve for x
x = 509,918,745,578,026,561,806,794,752/29,770,947,812,810 - Step 6: Final answer
x = 17,128,065,548,474.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.