Finding the Fourth Proportional to 1,548,673,823.09, 2,137,170,182.36 and 843,825,804.95
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Solution
The fourth proportional to 1,548,673,823.09, 2,137,170,182.36 and 843,825,804.95 is: 1,164,479,777.83
Step by Step Solution
- Step 1: Write the proportion equation
1,548,673,823.09 : 2,137,170,182.36 = 843,825,804.95 : x - Step 2: Convert to fraction form
1,548,673,823.09/2,137,170,182.36 = 843,825,804.95/x - Step 3: Cross multiply
1,548,673,823.09x = 2,137,170,182.36 × 843,825,804.95 - Step 4: Simplify right side
1,548,673,823.09x = 1,803,399,349,430,160,384 - Step 5: Solve for x
x = 1,803,399,349,430,160,384/1,548,673,823.09 - Step 6: Final answer
x = 1,164,479,777.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.