Finding the Fourth Proportional to 39,774,416,306,966, 54,888,110,358,272 and 22,215,994,306,450
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Solution
The fourth proportional to 39,774,416,306,966, 54,888,110,358,272 and 22,215,994,306,450 is: 30,657,745,868,607.71
Step by Step Solution
- Step 1: Write the proportion equation
39,774,416,306,966 : 54,888,110,358,272 = 22,215,994,306,450 : x - Step 2: Convert to fraction form
39,774,416,306,966/54,888,110,358,272 = 22,215,994,306,450/x - Step 3: Cross multiply
39,774,416,306,966x = 54,888,110,358,272 × 22,215,994,306,450 - Step 4: Simplify right side
39,774,416,306,966x = 1,219,393,947,211,170,018,744,074,240 - Step 5: Solve for x
x = 1,219,393,947,211,170,018,744,074,240/39,774,416,306,966 - Step 6: Final answer
x = 30,657,745,868,607.71
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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.