Finding the Fourth Proportional to 1,104,646,411,247, 1,524,190,958,140.90 and 616,830,291,270.40
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Solution
The fourth proportional to 1,104,646,411,247, 1,524,190,958,140.90 and 616,830,291,270.40 is: 851,102,346,496.95
Step by Step Solution
- Step 1: Write the proportion equation
1,104,646,411,247 : 1,524,190,958,140.90 = 616,830,291,270.40 : x - Step 2: Convert to fraction form
1,104,646,411,247/1,524,190,958,140.90 = 616,830,291,270.40/x - Step 3: Cross multiply
1,104,646,411,247x = 1,524,190,958,140.90 × 616,830,291,270.40 - Step 4: Simplify right side
1,104,646,411,247x = 940,167,152,661,761,387,134,976 - Step 5: Solve for x
x = 940,167,152,661,761,387,134,976/1,104,646,411,247 - Step 6: Final answer
x = 851,102,346,496.95
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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.