Finding the Fourth Proportional to 6,216,144,435,544, 8,577,703,644,629.60 and 3,438,246,878,911.80
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Solution
The fourth proportional to 6,216,144,435,544, 8,577,703,644,629.60 and 3,438,246,878,911.80 is: 4,744,462,277,250.34
Step by Step Solution
- Step 1: Write the proportion equation
6,216,144,435,544 : 8,577,703,644,629.60 = 3,438,246,878,911.80 : x - Step 2: Convert to fraction form
6,216,144,435,544/8,577,703,644,629.60 = 3,438,246,878,911.80/x - Step 3: Cross multiply
6,216,144,435,544x = 8,577,703,644,629.60 × 3,438,246,878,911.80 - Step 4: Simplify right side
6,216,144,435,544x = 29,492,262,784,378,090,119,233,536 - Step 5: Solve for x
x = 29,492,262,784,378,090,119,233,536/6,216,144,435,544 - Step 6: Final answer
x = 4,744,462,277,250.34
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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.