Finding the Fourth Proportional to 16,554,277,213.52, 24,831,181,977.84 and 7,706,167,201.04
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Solution
The fourth proportional to 16,554,277,213.52, 24,831,181,977.84 and 7,706,167,201.04 is: 11,559,141,945.77
Step by Step Solution
- Step 1: Write the proportion equation
16,554,277,213.52 : 24,831,181,977.84 = 7,706,167,201.04 : x - Step 2: Convert to fraction form
16,554,277,213.52/24,831,181,977.84 = 7,706,167,201.04/x - Step 3: Cross multiply
16,554,277,213.52x = 24,831,181,977.84 × 7,706,167,201.04 - Step 4: Simplify right side
16,554,277,213.52x = 191,353,240,120,686,149,632 - Step 5: Solve for x
x = 191,353,240,120,686,149,632/16,554,277,213.52 - Step 6: Final answer
x = 11,559,141,945.77
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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.