Finding the Fourth Proportional to 17,842,411,576.36, 24,622,540,603.86 and 9,814,362,908.68
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Solution
The fourth proportional to 17,842,411,576.36, 24,622,540,603.86 and 9,814,362,908.68 is: 13,543,827,760.38
Step by Step Solution
- Step 1: Write the proportion equation
17,842,411,576.36 : 24,622,540,603.86 = 9,814,362,908.68 : x - Step 2: Convert to fraction form
17,842,411,576.36/24,622,540,603.86 = 9,814,362,908.68/x - Step 3: Cross multiply
17,842,411,576.36x = 24,622,540,603.86 × 9,814,362,908.68 - Step 4: Simplify right side
17,842,411,576.36x = 241,654,549,219,990,831,104 - Step 5: Solve for x
x = 241,654,549,219,990,831,104/17,842,411,576.36 - Step 6: Final answer
x = 13,543,827,760.38
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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.