Finding the Fourth Proportional to 413,771,652,000.68, 620,657,478,001.02 and 413,771,652,000.68
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Solution
The fourth proportional to 413,771,652,000.68, 620,657,478,001.02 and 413,771,652,000.68 is: 620,657,478,001.02
Step by Step Solution
- Step 1: Write the proportion equation
413,771,652,000.68 : 620,657,478,001.02 = 413,771,652,000.68 : x - Step 2: Convert to fraction form
413,771,652,000.68/620,657,478,001.02 = 413,771,652,000.68/x - Step 3: Cross multiply
413,771,652,000.68x = 620,657,478,001.02 × 413,771,652,000.68 - Step 4: Simplify right side
413,771,652,000.68x = 256,810,469,999,057,743,904,768 - Step 5: Solve for x
x = 256,810,469,999,057,743,904,768/413,771,652,000.68 - Step 6: Final answer
x = 620,657,478,001.02
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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.