Finding the Fourth Proportional to 1,530,336,615,113.20, 2,295,513,503,428 and 510,451,350,201.57
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Solution
The fourth proportional to 1,530,336,615,113.20, 2,295,513,503,428 and 510,451,350,201.57 is: 765,679,887,456.71
Step by Step Solution
- Step 1: Write the proportion equation
1,530,336,615,113.20 : 2,295,513,503,428 = 510,451,350,201.57 : x - Step 2: Convert to fraction form
1,530,336,615,113.20/2,295,513,503,428 = 510,451,350,201.57/x - Step 3: Cross multiply
1,530,336,615,113.20x = 2,295,513,503,428 × 510,451,350,201.57 - Step 4: Simplify right side
1,530,336,615,113.20x = 1,171,747,967,230,758,921,175,040 - Step 5: Solve for x
x = 1,171,747,967,230,758,921,175,040/1,530,336,615,113.20 - Step 6: Final answer
x = 765,679,887,456.71
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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.