Finding the Fourth Proportional to 2,584,452,006.58, 3,877,655,030.86 and 1,011,683,340.09
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Solution
The fourth proportional to 2,584,452,006.58, 3,877,655,030.86 and 1,011,683,340.09 is: 1,517,907,464.85
Step by Step Solution
- Step 1: Write the proportion equation
2,584,452,006.58 : 3,877,655,030.86 = 1,011,683,340.09 : x - Step 2: Convert to fraction form
2,584,452,006.58/3,877,655,030.86 = 1,011,683,340.09/x - Step 3: Cross multiply
2,584,452,006.58x = 3,877,655,030.86 × 1,011,683,340.09 - Step 4: Simplify right side
2,584,452,006.58x = 3,922,958,993,337,236,992 - Step 5: Solve for x
x = 3,922,958,993,337,236,992/2,584,452,006.58 - Step 6: Final answer
x = 1,517,907,464.85
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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.