Finding the Fourth Proportional to 2,070,199,813.44, 3,104,210,099.96 and 1,415,338,118.13
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Solution
The fourth proportional to 2,070,199,813.44, 3,104,210,099.96 and 1,415,338,118.13 is: 2,122,262,234.12
Step by Step Solution
- Step 1: Write the proportion equation
2,070,199,813.44 : 3,104,210,099.96 = 1,415,338,118.13 : x - Step 2: Convert to fraction form
2,070,199,813.44/3,104,210,099.96 = 1,415,338,118.13/x - Step 3: Cross multiply
2,070,199,813.44x = 3,104,210,099.96 × 1,415,338,118.13 - Step 4: Simplify right side
2,070,199,813.44x = 4,393,506,881,150,449,152 - Step 5: Solve for x
x = 4,393,506,881,150,449,152/2,070,199,813.44 - Step 6: Final answer
x = 2,122,262,234.12
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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.