Finding the Fourth Proportional to 970,845,352.60, 1,456,310,537.70 and 280,822,358.20
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Solution
The fourth proportional to 970,845,352.60, 1,456,310,537.70 and 280,822,358.20 is: 421,245,833.20
Step by Step Solution
- Step 1: Write the proportion equation
970,845,352.60 : 1,456,310,537.70 = 280,822,358.20 : x - Step 2: Convert to fraction form
970,845,352.60/1,456,310,537.70 = 280,822,358.20/x - Step 3: Cross multiply
970,845,352.60x = 1,456,310,537.70 × 280,822,358.20 - Step 4: Simplify right side
970,845,352.60x = 408,964,559,468,424,000 - Step 5: Solve for x
x = 408,964,559,468,424,000/970,845,352.60 - Step 6: Final answer
x = 421,245,833.20
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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.