Finding the Fourth Proportional to 4,477,683,119.95, 6,181,184,368.16 and 2,892,548,142.19
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Solution
The fourth proportional to 4,477,683,119.95, 6,181,184,368.16 and 2,892,548,142.19 is: 3,992,996,574.72
Step by Step Solution
- Step 1: Write the proportion equation
4,477,683,119.95 : 6,181,184,368.16 = 2,892,548,142.19 : x - Step 2: Convert to fraction form
4,477,683,119.95/6,181,184,368.16 = 2,892,548,142.19/x - Step 3: Cross multiply
4,477,683,119.95x = 6,181,184,368.16 × 2,892,548,142.19 - Step 4: Simplify right side
4,477,683,119.95x = 17,879,373,360,640,614,400 - Step 5: Solve for x
x = 17,879,373,360,640,614,400/4,477,683,119.95 - Step 6: Final answer
x = 3,992,996,574.72
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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.