Finding the Fourth Proportional to 735,190,175,593.63, 1,102,464,986,397.70 and 390,515,751,096.49
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Solution
The fourth proportional to 735,190,175,593.63, 1,102,464,986,397.70 and 390,515,751,096.49 is: 585,603,503,029.74
Step by Step Solution
- Step 1: Write the proportion equation
735,190,175,593.63 : 1,102,464,986,397.70 = 390,515,751,096.49 : x - Step 2: Convert to fraction form
735,190,175,593.63/1,102,464,986,397.70 = 390,515,751,096.49/x - Step 3: Cross multiply
735,190,175,593.63x = 1,102,464,986,397.70 × 390,515,751,096.49 - Step 4: Simplify right side
735,190,175,593.63x = 430,529,942,220,679,432,634,368 - Step 5: Solve for x
x = 430,529,942,220,679,432,634,368/735,190,175,593.63 - Step 6: Final answer
x = 585,603,503,029.74
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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.