Finding the Fourth Proportional to 13,116,575,766,057, 18,101,443,544,764 and 7,263,683,018,676
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Solution
The fourth proportional to 13,116,575,766,057, 18,101,443,544,764 and 7,263,683,018,676 is: 10,024,197,659,108.25
Step by Step Solution
- Step 1: Write the proportion equation
13,116,575,766,057 : 18,101,443,544,764 = 7,263,683,018,676 : x - Step 2: Convert to fraction form
13,116,575,766,057/18,101,443,544,764 = 7,263,683,018,676/x - Step 3: Cross multiply
13,116,575,766,057x = 18,101,443,544,764 × 7,263,683,018,676 - Step 4: Simplify right side
13,116,575,766,057x = 131,483,148,089,624,572,102,443,008 - Step 5: Solve for x
x = 131,483,148,089,624,572,102,443,008/13,116,575,766,057 - Step 6: Final answer
x = 10,024,197,659,108.25
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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.