Finding the Fourth Proportional to 2,031,413,868,770.20, 2,803,351,596,488 and 1,117,930,836,714.40
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Solution
The fourth proportional to 2,031,413,868,770.20, 2,803,351,596,488 and 1,117,930,836,714.40 is: 1,542,744,806,484.83
Step by Step Solution
- Step 1: Write the proportion equation
2,031,413,868,770.20 : 2,803,351,596,488 = 1,117,930,836,714.40 : x - Step 2: Convert to fraction form
2,031,413,868,770.20/2,803,351,596,488 = 1,117,930,836,714.40/x - Step 3: Cross multiply
2,031,413,868,770.20x = 2,803,351,596,488 × 1,117,930,836,714.40 - Step 4: Simplify right side
2,031,413,868,770.20x = 3,133,953,195,866,478,738,407,424 - Step 5: Solve for x
x = 3,133,953,195,866,478,738,407,424/2,031,413,868,770.20 - Step 6: Final answer
x = 1,542,744,806,484.83
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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.