Finding the Fourth Proportional to 49,558,122,742,765, 68,390,422,004,554 and 27,032,721,265,960
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Solution
The fourth proportional to 49,558,122,742,765, 68,390,422,004,554 and 27,032,721,265,960 is: 37,305,271,325,685.74
Step by Step Solution
- Step 1: Write the proportion equation
49,558,122,742,765 : 68,390,422,004,554 = 27,032,721,265,960 : x - Step 2: Convert to fraction form
49,558,122,742,765/68,390,422,004,554 = 27,032,721,265,960/x - Step 3: Cross multiply
49,558,122,742,765x = 68,390,422,004,554 × 27,032,721,265,960 - Step 4: Simplify right side
49,558,122,742,765x = 1,848,779,215,310,485,727,410,651,136 - Step 5: Solve for x
x = 1,848,779,215,310,485,727,410,651,136/49,558,122,742,765 - Step 6: Final answer
x = 37,305,271,325,685.74
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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.