Finding the Fourth Proportional to 11,877,059,914, 16,390,353,423.78 and 6,524,966,982.70
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Solution
The fourth proportional to 11,877,059,914, 16,390,353,423.78 and 6,524,966,982.70 is: 9,004,460,337.77
Step by Step Solution
- Step 1: Write the proportion equation
11,877,059,914 : 16,390,353,423.78 = 6,524,966,982.70 : x - Step 2: Convert to fraction form
11,877,059,914/16,390,353,423.78 = 6,524,966,982.70/x - Step 3: Cross multiply
11,877,059,914x = 16,390,353,423.78 × 6,524,966,982.70 - Step 4: Simplify right side
11,877,059,914x = 106,946,514,924,948,406,272 - Step 5: Solve for x
x = 106,946,514,924,948,406,272/11,877,059,914 - Step 6: Final answer
x = 9,004,460,337.77
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1.5x scale
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.