Finding the Fourth Proportional to 3,537,693,122,634.50, 5,307,070,275,755 and 1,242,553,043,834.40
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Solution
The fourth proportional to 3,537,693,122,634.50, 5,307,070,275,755 and 1,242,553,043,834.40 is: 1,864,015,926,873.75
Step by Step Solution
- Step 1: Write the proportion equation
3,537,693,122,634.50 : 5,307,070,275,755 = 1,242,553,043,834.40 : x - Step 2: Convert to fraction form
3,537,693,122,634.50/5,307,070,275,755 = 1,242,553,043,834.40/x - Step 3: Cross multiply
3,537,693,122,634.50x = 5,307,070,275,755 × 1,242,553,043,834.40 - Step 4: Simplify right side
3,537,693,122,634.50x = 6,594,316,324,982,443,705,630,720 - Step 5: Solve for x
x = 6,594,316,324,982,443,705,630,720/3,537,693,122,634.50 - Step 6: Final answer
x = 1,864,015,926,873.75
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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.