Finding the Fourth Proportional to 99,716,480,556.16, 149,583,915,865.44 and 32,564,077,549.60
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Solution
The fourth proportional to 99,716,480,556.16, 149,583,915,865.44 and 32,564,077,549.60 is: 48,849,119,114.99
Step by Step Solution
- Step 1: Write the proportion equation
99,716,480,556.16 : 149,583,915,865.44 = 32,564,077,549.60 : x - Step 2: Convert to fraction form
99,716,480,556.16/149,583,915,865.44 = 32,564,077,549.60/x - Step 3: Cross multiply
99,716,480,556.16x = 149,583,915,865.44 × 32,564,077,549.60 - Step 4: Simplify right side
99,716,480,556.16x = 4,871,062,236,415,029,936,128 - Step 5: Solve for x
x = 4,871,062,236,415,029,936,128/99,716,480,556.16 - Step 6: Final answer
x = 48,849,119,114.99
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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.