Finding the Fourth Proportional to 102,151,497,816.08, 153,227,246,724.11 and 102,151,497,816.08
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Solution
The fourth proportional to 102,151,497,816.08, 153,227,246,724.11 and 102,151,497,816.08 is: 153,227,246,724.11
Step by Step Solution
- Step 1: Write the proportion equation
102,151,497,816.08 : 153,227,246,724.11 = 102,151,497,816.08 : x - Step 2: Convert to fraction form
102,151,497,816.08/153,227,246,724.11 = 102,151,497,816.08/x - Step 3: Cross multiply
102,151,497,816.08x = 153,227,246,724.11 × 102,151,497,816.08 - Step 4: Simplify right side
102,151,497,816.08x = 15,652,392,759,101,872,930,816 - Step 5: Solve for x
x = 15,652,392,759,101,872,930,816/102,151,497,816.08 - Step 6: Final answer
x = 153,227,246,724.11
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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.