Finding the Fourth Proportional to 1,523,355,297,537.80, 2,102,166,863,218.20 and 828,898,582,548.40
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Solution
The fourth proportional to 1,523,355,297,537.80, 2,102,166,863,218.20 and 828,898,582,548.40 is: 1,143,845,520,488.99
Step by Step Solution
- Step 1: Write the proportion equation
1,523,355,297,537.80 : 2,102,166,863,218.20 = 828,898,582,548.40 : x - Step 2: Convert to fraction form
1,523,355,297,537.80/2,102,166,863,218.20 = 828,898,582,548.40/x - Step 3: Cross multiply
1,523,355,297,537.80x = 2,102,166,863,218.20 × 828,898,582,548.40 - Step 4: Simplify right side
1,523,355,297,537.80x = 1,742,483,133,201,782,369,419,264 - Step 5: Solve for x
x = 1,742,483,133,201,782,369,419,264/1,523,355,297,537.80 - Step 6: Final answer
x = 1,143,845,520,488.99
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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.