Finding the Fourth Proportional to 4,354,632,017,172, 6,009,392,771,916.90 and 2,403,668,136,217.60
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Solution
The fourth proportional to 4,354,632,017,172, 6,009,392,771,916.90 and 2,403,668,136,217.60 is: 3,317,062,352,665.49
Step by Step Solution
- Step 1: Write the proportion equation
4,354,632,017,172 : 6,009,392,771,916.90 = 2,403,668,136,217.60 : x - Step 2: Convert to fraction form
4,354,632,017,172/6,009,392,771,916.90 = 2,403,668,136,217.60/x - Step 3: Cross multiply
4,354,632,017,172x = 6,009,392,771,916.90 × 2,403,668,136,217.60 - Step 4: Simplify right side
4,354,632,017,172x = 14,444,585,923,873,014,267,510,784 - Step 5: Solve for x
x = 14,444,585,923,873,014,267,510,784/4,354,632,017,172 - Step 6: Final answer
x = 3,317,062,352,665.49
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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.