Finding the Fourth Proportional to 2,149,252,462.40, 3,223,878,693.60 and 787,466,811.20
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Solution
The fourth proportional to 2,149,252,462.40, 3,223,878,693.60 and 787,466,811.20 is: 1,181,200,216.80
Step by Step Solution
- Step 1: Write the proportion equation
2,149,252,462.40 : 3,223,878,693.60 = 787,466,811.20 : x - Step 2: Convert to fraction form
2,149,252,462.40/3,223,878,693.60 = 787,466,811.20/x - Step 3: Cross multiply
2,149,252,462.40x = 3,223,878,693.60 × 787,466,811.20 - Step 4: Simplify right side
2,149,252,462.40x = 2,538,697,474,544,814,080 - Step 5: Solve for x
x = 2,538,697,474,544,814,080/2,149,252,462.40 - Step 6: Final answer
x = 1,181,200,216.80
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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.