Finding the Fourth Proportional to 99,114,307,291.52, 148,700,472,130.20 and 31,960,201,770.08
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Solution
The fourth proportional to 99,114,307,291.52, 148,700,472,130.20 and 31,960,201,770.08 is: 47,949,657,546.50
Step by Step Solution
- Step 1: Write the proportion equation
99,114,307,291.52 : 148,700,472,130.20 = 31,960,201,770.08 : x - Step 2: Convert to fraction form
99,114,307,291.52/148,700,472,130.20 = 31,960,201,770.08/x - Step 3: Cross multiply
99,114,307,291.52x = 148,700,472,130.20 × 31,960,201,770.08 - Step 4: Simplify right side
99,114,307,291.52x = 4,752,497,092,587,350,392,832 - Step 5: Solve for x
x = 4,752,497,092,587,350,392,832/99,114,307,291.52 - Step 6: Final answer
x = 47,949,657,546.50
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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.