Finding the Fourth Proportional to 4,649,549,206.78, 6,416,193,090.81 and 2,744,924,195.62
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Solution
The fourth proportional to 4,649,549,206.78, 6,416,193,090.81 and 2,744,924,195.62 is: 3,787,886,282.19
Step by Step Solution
- Step 1: Write the proportion equation
4,649,549,206.78 : 6,416,193,090.81 = 2,744,924,195.62 : x - Step 2: Convert to fraction form
4,649,549,206.78/6,416,193,090.81 = 2,744,924,195.62/x - Step 3: Cross multiply
4,649,549,206.78x = 6,416,193,090.81 × 2,744,924,195.62 - Step 4: Simplify right side
4,649,549,206.78x = 17,611,963,658,734,241,792 - Step 5: Solve for x
x = 17,611,963,658,734,241,792/4,649,549,206.78 - Step 6: Final answer
x = 3,787,886,282.19
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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.