Finding the Fourth Proportional to 106,153,418,035.84, 159,230,722,311.36 and 35,407,934,657.68
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Solution
The fourth proportional to 106,153,418,035.84, 159,230,722,311.36 and 35,407,934,657.68 is: 53,112,100,537.28
Step by Step Solution
- Step 1: Write the proportion equation
106,153,418,035.84 : 159,230,722,311.36 = 35,407,934,657.68 : x - Step 2: Convert to fraction form
106,153,418,035.84/159,230,722,311.36 = 35,407,934,657.68/x - Step 3: Cross multiply
106,153,418,035.84x = 159,230,722,311.36 × 35,407,934,657.68 - Step 4: Simplify right side
106,153,418,035.84x = 5,638,031,011,095,823,515,648 - Step 5: Solve for x
x = 5,638,031,011,095,823,515,648/106,153,418,035.84 - Step 6: Final answer
x = 53,112,100,537.28
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.