Finding the Fourth Proportional to 1,024,103,624.80, 1,413,266,519.84 and 554,204,821.04
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Solution
The fourth proportional to 1,024,103,624.80, 1,413,266,519.84 and 554,204,821.04 is: 764,804,556.63
Step by Step Solution
- Step 1: Write the proportion equation
1,024,103,624.80 : 1,413,266,519.84 = 554,204,821.04 : x - Step 2: Convert to fraction form
1,024,103,624.80/1,413,266,519.84 = 554,204,821.04/x - Step 3: Cross multiply
1,024,103,624.80x = 1,413,266,519.84 × 554,204,821.04 - Step 4: Simplify right side
1,024,103,624.80x = 783,239,118,709,750,656 - Step 5: Solve for x
x = 783,239,118,709,750,656/1,024,103,624.80 - Step 6: Final answer
x = 764,804,556.63
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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.