Finding the Fourth Proportional to 1,530,336,615,095.70, 2,295,513,503,402.20 and 510,451,350,184.26
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Solution
The fourth proportional to 1,530,336,615,095.70, 2,295,513,503,402.20 and 510,451,350,184.26 is: 765,679,887,430.90
Step by Step Solution
- Step 1: Write the proportion equation
1,530,336,615,095.70 : 2,295,513,503,402.20 = 510,451,350,184.26 : x - Step 2: Convert to fraction form
1,530,336,615,095.70/2,295,513,503,402.20 = 510,451,350,184.26/x - Step 3: Cross multiply
1,530,336,615,095.70x = 2,295,513,503,402.20 × 510,451,350,184.26 - Step 4: Simplify right side
1,530,336,615,095.70x = 1,171,747,967,177,854,050,893,824 - Step 5: Solve for x
x = 1,171,747,967,177,854,050,893,824/1,530,336,615,095.70 - Step 6: Final answer
x = 765,679,887,430.90
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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.