Finding the Fourth Proportional to 64,918,100,026,734, 89,587,035,763,894 and 35,287,830,493,174
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Solution
The fourth proportional to 64,918,100,026,734, 89,587,035,763,894 and 35,287,830,493,174 is: 48,697,237,459,511.85
Step by Step Solution
- Step 1: Write the proportion equation
64,918,100,026,734 : 89,587,035,763,894 = 35,287,830,493,174 : x - Step 2: Convert to fraction form
64,918,100,026,734/89,587,035,763,894 = 35,287,830,493,174/x - Step 3: Cross multiply
64,918,100,026,734x = 89,587,035,763,894 × 35,287,830,493,174 - Step 4: Simplify right side
64,918,100,026,734x = 3,161,332,132,422,208,170,097,639,424 - Step 5: Solve for x
x = 3,161,332,132,422,208,170,097,639,424/64,918,100,026,734 - Step 6: Final answer
x = 48,697,237,459,511.85
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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.