Finding the Fourth Proportional to 1,676,536,704,000.20, 2,514,805,056,000.30 and 669,883,712,717.02
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Solution
The fourth proportional to 1,676,536,704,000.20, 2,514,805,056,000.30 and 669,883,712,717.02 is: 1,004,825,569,075.53
Step by Step Solution
- Step 1: Write the proportion equation
1,676,536,704,000.20 : 2,514,805,056,000.30 = 669,883,712,717.02 : x - Step 2: Convert to fraction form
1,676,536,704,000.20/2,514,805,056,000.30 = 669,883,712,717.02/x - Step 3: Cross multiply
1,676,536,704,000.20x = 2,514,805,056,000.30 × 669,883,712,717.02 - Step 4: Simplify right side
1,676,536,704,000.20x = 1,684,626,947,673,014,373,711,872 - Step 5: Solve for x
x = 1,684,626,947,673,014,373,711,872/1,676,536,704,000.20 - Step 6: Final answer
x = 1,004,825,569,075.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.