Finding the Fourth Proportional to 13,116,575,763,744, 18,101,443,541,570 and 7,263,683,016,363
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Solution
The fourth proportional to 13,116,575,763,744, 18,101,443,541,570 and 7,263,683,016,363 is: 10,024,197,655,915.12
Step by Step Solution
- Step 1: Write the proportion equation
13,116,575,763,744 : 18,101,443,541,570 = 7,263,683,016,363 : x - Step 2: Convert to fraction form
13,116,575,763,744/18,101,443,541,570 = 7,263,683,016,363/x - Step 3: Cross multiply
13,116,575,763,744x = 18,101,443,541,570 × 7,263,683,016,363 - Step 4: Simplify right side
13,116,575,763,744x = 131,483,148,024,555,714,488,827,904 - Step 5: Solve for x
x = 131,483,148,024,555,714,488,827,904/13,116,575,763,744 - Step 6: Final answer
x = 10,024,197,655,915.12
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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.