Finding the Fourth Proportional to 271,272,878,558.70, 406,920,547,475.97 and 80,044,912,582.08
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Solution
The fourth proportional to 271,272,878,558.70, 406,920,547,475.97 and 80,044,912,582.08 is: 120,070,682,419.95
Step by Step Solution
- Step 1: Write the proportion equation
271,272,878,558.70 : 406,920,547,475.97 = 80,044,912,582.08 : x - Step 2: Convert to fraction form
271,272,878,558.70/406,920,547,475.97 = 80,044,912,582.08/x - Step 3: Cross multiply
271,272,878,558.70x = 406,920,547,475.97 × 80,044,912,582.08 - Step 4: Simplify right side
271,272,878,558.70x = 32,571,919,650,566,151,602,176 - Step 5: Solve for x
x = 32,571,919,650,566,151,602,176/271,272,878,558.70 - Step 6: Final answer
x = 120,070,682,419.95
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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.