Finding the Fourth Proportional to 3,099,699,470.52, 4,277,462,059.62 and 1,829,949,463.08
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Solution
The fourth proportional to 3,099,699,470.52, 4,277,462,059.62 and 1,829,949,463.08 is: 2,525,257,520.54
Step by Step Solution
- Step 1: Write the proportion equation
3,099,699,470.52 : 4,277,462,059.62 = 1,829,949,463.08 : x - Step 2: Convert to fraction form
3,099,699,470.52/4,277,462,059.62 = 1,829,949,463.08/x - Step 3: Cross multiply
3,099,699,470.52x = 4,277,462,059.62 × 1,829,949,463.08 - Step 4: Simplify right side
3,099,699,470.52x = 7,827,539,399,346,689,024 - Step 5: Solve for x
x = 7,827,539,399,346,689,024/3,099,699,470.52 - Step 6: Final answer
x = 2,525,257,520.54
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1.5x scale
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.