Finding the Fourth Proportional to 180,873,610,367.80, 271,310,415,551.70 and 180,873,610,367.80
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Solution
The fourth proportional to 180,873,610,367.80, 271,310,415,551.70 and 180,873,610,367.80 is: 271,310,415,551.70
Step by Step Solution
- Step 1: Write the proportion equation
180,873,610,367.80 : 271,310,415,551.70 = 180,873,610,367.80 : x - Step 2: Convert to fraction form
180,873,610,367.80/271,310,415,551.70 = 180,873,610,367.80/x - Step 3: Cross multiply
180,873,610,367.80x = 271,310,415,551.70 × 180,873,610,367.80 - Step 4: Simplify right side
180,873,610,367.80x = 49,072,894,391,224,092,327,936 - Step 5: Solve for x
x = 49,072,894,391,224,092,327,936/180,873,610,367.80 - Step 6: Final answer
x = 271,310,415,551.70
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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.