Finding the Fourth Proportional to 1,982,820,236,163.80, 2,975,588,940,871.60 and 692,031,490,032.96
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Solution
The fourth proportional to 1,982,820,236,163.80, 2,975,588,940,871.60 and 692,031,490,032.96 is: 1,038,521,400,437.66
Step by Step Solution
- Step 1: Write the proportion equation
1,982,820,236,163.80 : 2,975,588,940,871.60 = 692,031,490,032.96 : x - Step 2: Convert to fraction form
1,982,820,236,163.80/2,975,588,940,871.60 = 692,031,490,032.96/x - Step 3: Cross multiply
1,982,820,236,163.80x = 2,975,588,940,871.60 × 692,031,490,032.96 - Step 4: Simplify right side
1,982,820,236,163.80x = 2,059,201,248,476,970,635,755,520 - Step 5: Solve for x
x = 2,059,201,248,476,970,635,755,520/1,982,820,236,163.80 - Step 6: Final answer
x = 1,038,521,400,437.66
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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.