Finding the Fourth Proportional to 742,738,746,214.16, 1,114,326,704,469.70 and 239,651,696,629.52
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Solution
The fourth proportional to 742,738,746,214.16, 1,114,326,704,469.70 and 239,651,696,629.52 is: 359,548,073,514.32
Step by Step Solution
- Step 1: Write the proportion equation
742,738,746,214.16 : 1,114,326,704,469.70 = 239,651,696,629.52 : x - Step 2: Convert to fraction form
742,738,746,214.16/1,114,326,704,469.70 = 239,651,696,629.52/x - Step 3: Cross multiply
742,738,746,214.16x = 1,114,326,704,469.70 × 239,651,696,629.52 - Step 4: Simplify right side
742,738,746,214.16x = 267,050,285,325,745,295,196,160 - Step 5: Solve for x
x = 267,050,285,325,745,295,196,160/742,738,746,214.16 - Step 6: Final answer
x = 359,548,073,514.32
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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.