Finding the Fourth Proportional to 97,571,028,750.39, 146,183,395,892.61 and 40,785,714,418.23
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Solution
The fourth proportional to 97,571,028,750.39, 146,183,395,892.61 and 40,785,714,418.23 is: 61,106,194,266.08
Step by Step Solution
- Step 1: Write the proportion equation
97,571,028,750.39 : 146,183,395,892.61 = 40,785,714,418.23 : x - Step 2: Convert to fraction form
97,571,028,750.39/146,183,395,892.61 = 40,785,714,418.23/x - Step 3: Cross multiply
97,571,028,750.39x = 146,183,395,892.61 × 40,785,714,418.23 - Step 4: Simplify right side
97,571,028,750.39x = 5,962,194,237,562,316,390,400 - Step 5: Solve for x
x = 5,962,194,237,562,316,390,400/97,571,028,750.39 - Step 6: Final answer
x = 61,106,194,266.08
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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.