Finding the Fourth Proportional to 1,616,478,842,785.90, 2,230,588,209,762.80 and 966,027,930,270.62
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Solution
The fourth proportional to 1,616,478,842,785.90, 2,230,588,209,762.80 and 966,027,930,270.62 is: 1,333,027,352,123.91
Step by Step Solution
- Step 1: Write the proportion equation
1,616,478,842,785.90 : 2,230,588,209,762.80 = 966,027,930,270.62 : x - Step 2: Convert to fraction form
1,616,478,842,785.90/2,230,588,209,762.80 = 966,027,930,270.62/x - Step 3: Cross multiply
1,616,478,842,785.90x = 2,230,588,209,762.80 × 966,027,930,270.62 - Step 4: Simplify right side
1,616,478,842,785.90x = 2,154,810,511,563,205,086,543,872 - Step 5: Solve for x
x = 2,154,810,511,563,205,086,543,872/1,616,478,842,785.90 - Step 6: Final answer
x = 1,333,027,352,123.91
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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.