Finding the Fourth Proportional to 49,201,984,369,016, 73,751,313,645,128 and 16,554,411,089,676
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Solution
The fourth proportional to 49,201,984,369,016, 73,751,313,645,128 and 16,554,411,089,676 is: 24,814,234,225,356.25
Step by Step Solution
- Step 1: Write the proportion equation
49,201,984,369,016 : 73,751,313,645,128 = 16,554,411,089,676 : x - Step 2: Convert to fraction form
49,201,984,369,016/73,751,313,645,128 = 16,554,411,089,676/x - Step 3: Cross multiply
49,201,984,369,016x = 73,751,313,645,128 × 16,554,411,089,676 - Step 4: Simplify right side
49,201,984,369,016x = 1,220,909,564,485,079,827,495,256,064 - Step 5: Solve for x
x = 1,220,909,564,485,079,827,495,256,064/49,201,984,369,016 - Step 6: Final answer
x = 24,814,234,225,356.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.