Finding the Fourth Proportional to 2,024,257,523.20, 3,036,386,284.80 and 1,616,110,835.20
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Solution
The fourth proportional to 2,024,257,523.20, 3,036,386,284.80 and 1,616,110,835.20 is: 2,424,166,252.80
Step by Step Solution
- Step 1: Write the proportion equation
2,024,257,523.20 : 3,036,386,284.80 = 1,616,110,835.20 : x - Step 2: Convert to fraction form
2,024,257,523.20/3,036,386,284.80 = 1,616,110,835.20/x - Step 3: Cross multiply
2,024,257,523.20x = 3,036,386,284.80 × 1,616,110,835.20 - Step 4: Simplify right side
2,024,257,523.20x = 4,907,136,774,717,953,024 - Step 5: Solve for x
x = 4,907,136,774,717,953,024/2,024,257,523.20 - Step 6: Final answer
x = 2,424,166,252.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.