Finding the Fourth Proportional to 1,467,099,168,024.20, 2,201,653,977,421.40 and 512,037,764,031.98
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Solution
The fourth proportional to 1,467,099,168,024.20, 2,201,653,977,421.40 and 512,037,764,031.98 is: 768,407,483,516.73
Step by Step Solution
- Step 1: Write the proportion equation
1,467,099,168,024.20 : 2,201,653,977,421.40 = 512,037,764,031.98 : x - Step 2: Convert to fraction form
1,467,099,168,024.20/2,201,653,977,421.40 = 512,037,764,031.98/x - Step 3: Cross multiply
1,467,099,168,024.20x = 2,201,653,977,421.40 × 512,037,764,031.98 - Step 4: Simplify right side
1,467,099,168,024.20x = 1,127,329,979,770,968,960,139,264 - Step 5: Solve for x
x = 1,127,329,979,770,968,960,139,264/1,467,099,168,024.20 - Step 6: Final answer
x = 768,407,483,516.73
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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.