Finding the Fourth Proportional to 413,771,652,073.80, 620,657,478,110.70 and 413,771,652,073.80
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Solution
The fourth proportional to 413,771,652,073.80, 620,657,478,110.70 and 413,771,652,073.80 is: 620,657,478,110.70
Step by Step Solution
- Step 1: Write the proportion equation
413,771,652,073.80 : 620,657,478,110.70 = 413,771,652,073.80 : x - Step 2: Convert to fraction form
413,771,652,073.80/620,657,478,110.70 = 413,771,652,073.80/x - Step 3: Cross multiply
413,771,652,073.80x = 620,657,478,110.70 × 413,771,652,073.80 - Step 4: Simplify right side
413,771,652,073.80x = 256,810,470,089,822,683,791,360 - Step 5: Solve for x
x = 256,810,470,089,822,683,791,360/413,771,652,073.80 - Step 6: Final answer
x = 620,657,478,110.70
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1.5x scale
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.