Finding the Fourth Proportional to 13,116,575,763,746, 18,101,443,541,572 and 7,263,683,016,365
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Solution
The fourth proportional to 13,116,575,763,746, 18,101,443,541,572 and 7,263,683,016,365 is: 10,024,197,655,917.46
Step by Step Solution
- Step 1: Write the proportion equation
13,116,575,763,746 : 18,101,443,541,572 = 7,263,683,016,365 : x - Step 2: Convert to fraction form
13,116,575,763,746/18,101,443,541,572 = 7,263,683,016,365/x - Step 3: Cross multiply
13,116,575,763,746x = 18,101,443,541,572 × 7,263,683,016,365 - Step 4: Simplify right side
13,116,575,763,746x = 131,483,148,024,606,446,642,528,256 - Step 5: Solve for x
x = 131,483,148,024,606,446,642,528,256/13,116,575,763,746 - Step 6: Final answer
x = 10,024,197,655,917.46
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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.