Finding the Fourth Proportional to 97,571,028,750.89, 146,183,395,893.36 and 40,785,714,418.73
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Solution
The fourth proportional to 97,571,028,750.89, 146,183,395,893.36 and 40,785,714,418.73 is: 61,106,194,266.83
Step by Step Solution
- Step 1: Write the proportion equation
97,571,028,750.89 : 146,183,395,893.36 = 40,785,714,418.73 : x - Step 2: Convert to fraction form
97,571,028,750.89/146,183,395,893.36 = 40,785,714,418.73/x - Step 3: Cross multiply
97,571,028,750.89x = 146,183,395,893.36 × 40,785,714,418.73 - Step 4: Simplify right side
97,571,028,750.89x = 5,962,194,237,666,728,345,600 - Step 5: Solve for x
x = 5,962,194,237,666,728,345,600/97,571,028,750.89 - Step 6: Final answer
x = 61,106,194,266.83
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1.5x scale
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.