Finding the Fourth Proportional to 1,024,526,006.24, 1,413,846,345.06 and 554,627,311.98
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Solution
The fourth proportional to 1,024,526,006.24, 1,413,846,345.06 and 554,627,311.98 is: 765,385,937.63
Step by Step Solution
- Step 1: Write the proportion equation
1,024,526,006.24 : 1,413,846,345.06 = 554,627,311.98 : x - Step 2: Convert to fraction form
1,024,526,006.24/1,413,846,345.06 = 554,627,311.98/x - Step 3: Cross multiply
1,024,526,006.24x = 1,413,846,345.06 × 554,627,311.98 - Step 4: Simplify right side
1,024,526,006.24x = 784,157,797,913,375,360 - Step 5: Solve for x
x = 784,157,797,913,375,360/1,024,526,006.24 - Step 6: Final answer
x = 765,385,937.63
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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.