Finding the Fourth Proportional to 2,140,966,206.74, 3,211,604,092.30 and 896,144,716.09
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Solution
The fourth proportional to 2,140,966,206.74, 3,211,604,092.30 and 896,144,716.09 is: 1,344,281,861.35
Step by Step Solution
- Step 1: Write the proportion equation
2,140,966,206.74 : 3,211,604,092.30 = 896,144,716.09 : x - Step 2: Convert to fraction form
2,140,966,206.74/3,211,604,092.30 = 896,144,716.09/x - Step 3: Cross multiply
2,140,966,206.74x = 3,211,604,092.30 × 896,144,716.09 - Step 4: Simplify right side
2,140,966,206.74x = 2,878,062,037,483,315,200 - Step 5: Solve for x
x = 2,878,062,037,483,315,200/2,140,966,206.74 - Step 6: Final answer
x = 1,344,281,861.35
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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.