Finding the Fourth Proportional to 2,277,245,598.57, 3,416,334,289.04 and 783,083,090.09
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Solution
The fourth proportional to 2,277,245,598.57, 3,416,334,289.04 and 783,083,090.09 is: 1,174,784,842.50
Step by Step Solution
- Step 1: Write the proportion equation
2,277,245,598.57 : 3,416,334,289.04 = 783,083,090.09 : x - Step 2: Convert to fraction form
2,277,245,598.57/3,416,334,289.04 = 783,083,090.09/x - Step 3: Cross multiply
2,277,245,598.57x = 3,416,334,289.04 × 783,083,090.09 - Step 4: Simplify right side
2,277,245,598.57x = 2,675,273,611,841,866,752 - Step 5: Solve for x
x = 2,675,273,611,841,866,752/2,277,245,598.57 - Step 6: Final answer
x = 1,174,784,842.50
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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.