Finding the Fourth Proportional to 7,497,440,305,461, 10,345,640,360,102 and 4,204,510,493,355.40
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Solution
The fourth proportional to 7,497,440,305,461, 10,345,640,360,102 and 4,204,510,493,355.40 is: 5,801,760,558,579.78
Step by Step Solution
- Step 1: Write the proportion equation
7,497,440,305,461 : 10,345,640,360,102 = 4,204,510,493,355.40 : x - Step 2: Convert to fraction form
7,497,440,305,461/10,345,640,360,102 = 4,204,510,493,355.40/x - Step 3: Cross multiply
7,497,440,305,461x = 10,345,640,360,102 × 4,204,510,493,355.40 - Step 4: Simplify right side
7,497,440,305,461x = 43,498,353,454,529,994,012,229,632 - Step 5: Solve for x
x = 43,498,353,454,529,994,012,229,632/7,497,440,305,461 - Step 6: Final answer
x = 5,801,760,558,579.78
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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.