Finding the Fourth Proportional to 4,297,042,647.90, 6,445,562,454.69 and 1,149,175,445.58
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Solution
The fourth proportional to 4,297,042,647.90, 6,445,562,454.69 and 1,149,175,445.58 is: 1,723,762,762.63
Step by Step Solution
- Step 1: Write the proportion equation
4,297,042,647.90 : 6,445,562,454.69 = 1,149,175,445.58 : x - Step 2: Convert to fraction form
4,297,042,647.90/6,445,562,454.69 = 1,149,175,445.58/x - Step 3: Cross multiply
4,297,042,647.90x = 6,445,562,454.69 × 1,149,175,445.58 - Step 4: Simplify right side
4,297,042,647.90x = 7,407,082,105,882,098,688 - Step 5: Solve for x
x = 7,407,082,105,882,098,688/4,297,042,647.90 - Step 6: Final answer
x = 1,723,762,762.63
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1.5x scale
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.