Finding the Fourth Proportional to 144,455,658,872.41, 199,349,275,056.54 and 80,226,383,180.99
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Solution
The fourth proportional to 144,455,658,872.41, 199,349,275,056.54 and 80,226,383,180.99 is: 110,712,667,488.26
Step by Step Solution
- Step 1: Write the proportion equation
144,455,658,872.41 : 199,349,275,056.54 = 80,226,383,180.99 : x - Step 2: Convert to fraction form
144,455,658,872.41/199,349,275,056.54 = 80,226,383,180.99/x - Step 3: Cross multiply
144,455,658,872.41x = 199,349,275,056.54 × 80,226,383,180.99 - Step 4: Simplify right side
144,455,658,872.41x = 15,993,071,327,538,552,242,176 - Step 5: Solve for x
x = 15,993,071,327,538,552,242,176/144,455,658,872.41 - Step 6: Final answer
x = 110,712,667,488.26
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.