Finding the Fourth Proportional to 1,024,075,512.97, 1,413,224,209.46 and 554,176,833.76
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Solution
The fourth proportional to 1,024,075,512.97, 1,413,224,209.46 and 554,176,833.76 is: 764,764,031.43
Step by Step Solution
- Step 1: Write the proportion equation
1,024,075,512.97 : 1,413,224,209.46 = 554,176,833.76 : x - Step 2: Convert to fraction form
1,024,075,512.97/1,413,224,209.46 = 554,176,833.76/x - Step 3: Cross multiply
1,024,075,512.97x = 1,413,224,209.46 × 554,176,833.76 - Step 4: Simplify right side
1,024,075,512.97x = 783,176,117,786,731,520 - Step 5: Solve for x
x = 783,176,117,786,731,520/1,024,075,512.97 - Step 6: Final answer
x = 764,764,031.43
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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.