Finding the Fourth Proportional to 2,359,243,080,537.80, 3,232,109,270,723.40 and 2,271,034,770,874
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Solution
The fourth proportional to 2,359,243,080,537.80, 3,232,109,270,723.40 and 2,271,034,770,874 is: 3,111,265,896,095.71
Step by Step Solution
- Step 1: Write the proportion equation
2,359,243,080,537.80 : 3,232,109,270,723.40 = 2,271,034,770,874 : x - Step 2: Convert to fraction form
2,359,243,080,537.80/3,232,109,270,723.40 = 2,271,034,770,874/x - Step 3: Cross multiply
2,359,243,080,537.80x = 3,232,109,270,723.40 × 2,271,034,770,874 - Step 4: Simplify right side
2,359,243,080,537.80x = 7,340,232,537,077,047,778,869,248 - Step 5: Solve for x
x = 7,340,232,537,077,047,778,869,248/2,359,243,080,537.80 - Step 6: Final answer
x = 3,111,265,896,095.71
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.