Finding the Fourth Proportional to 1,650,486,542,507.20, 2,476,860,692,356.80 and 576,042,463,022.10
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Solution
The fourth proportional to 1,650,486,542,507.20, 2,476,860,692,356.80 and 576,042,463,022.10 is: 864,458,386,689.09
Step by Step Solution
- Step 1: Write the proportion equation
1,650,486,542,507.20 : 2,476,860,692,356.80 = 576,042,463,022.10 : x - Step 2: Convert to fraction form
1,650,486,542,507.20/2,476,860,692,356.80 = 576,042,463,022.10/x - Step 3: Cross multiply
1,650,486,542,507.20x = 2,476,860,692,356.80 × 576,042,463,022.10 - Step 4: Simplify right side
1,650,486,542,507.20x = 1,426,776,933,787,834,880,360,448 - Step 5: Solve for x
x = 1,426,776,933,787,834,880,360,448/1,650,486,542,507.20 - Step 6: Final answer
x = 864,458,386,689.09
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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.