Finding the Fourth Proportional to 450,620,082,541.08, 676,034,674,283.56 and 148,421,840,533.03
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Solution
The fourth proportional to 450,620,082,541.08, 676,034,674,283.56 and 148,421,840,533.03 is: 222,667,196,844.62
Step by Step Solution
- Step 1: Write the proportion equation
450,620,082,541.08 : 676,034,674,283.56 = 148,421,840,533.03 : x - Step 2: Convert to fraction form
450,620,082,541.08/676,034,674,283.56 = 148,421,840,533.03/x - Step 3: Cross multiply
450,620,082,541.08x = 676,034,674,283.56 × 148,421,840,533.03 - Step 4: Simplify right side
450,620,082,541.08x = 100,338,310,621,313,426,784,256 - Step 5: Solve for x
x = 100,338,310,621,313,426,784,256/450,620,082,541.08 - Step 6: Final answer
x = 222,667,196,844.62
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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.