Finding the Fourth Proportional to 2,099,830,722,627, 2,898,232,569,120 and 1,276,592,752,652.70
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Solution
The fourth proportional to 2,099,830,722,627, 2,898,232,569,120 and 1,276,592,752,652.70 is: 1,761,981,408,011.73
Step by Step Solution
- Step 1: Write the proportion equation
2,099,830,722,627 : 2,898,232,569,120 = 1,276,592,752,652.70 : x - Step 2: Convert to fraction form
2,099,830,722,627/2,898,232,569,120 = 1,276,592,752,652.70/x - Step 3: Cross multiply
2,099,830,722,627x = 2,898,232,569,120 × 1,276,592,752,652.70 - Step 4: Simplify right side
2,099,830,722,627x = 3,699,862,693,240,607,525,044,224 - Step 5: Solve for x
x = 3,699,862,693,240,607,525,044,224/2,099,830,722,627 - Step 6: Final answer
x = 1,761,981,408,011.73
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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.