Finding the Fourth Proportional to 1,097,438,214.26, 1,514,466,394.71 and 595,647,178.22
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Solution
The fourth proportional to 1,097,438,214.26, 1,514,466,394.71 and 595,647,178.22 is: 821,994,006.40
Step by Step Solution
- Step 1: Write the proportion equation
1,097,438,214.26 : 1,514,466,394.71 = 595,647,178.22 : x - Step 2: Convert to fraction form
1,097,438,214.26/1,514,466,394.71 = 595,647,178.22/x - Step 3: Cross multiply
1,097,438,214.26x = 1,514,466,394.71 × 595,647,178.22 - Step 4: Simplify right side
1,097,438,214.26x = 902,087,634,518,028,288 - Step 5: Solve for x
x = 902,087,634,518,028,288/1,097,438,214.26 - Step 6: Final answer
x = 821,994,006.40
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Double scale
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1.5x scale
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.