Finding the Fourth Proportional to 3,418,465,269.85, 5,133,566,017.62 and 2,098,245,774.13
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Solution
The fourth proportional to 3,418,465,269.85, 5,133,566,017.62 and 2,098,245,774.13 is: 3,150,970,494.77
Step by Step Solution
- Step 1: Write the proportion equation
3,418,465,269.85 : 5,133,566,017.62 = 2,098,245,774.13 : x - Step 2: Convert to fraction form
3,418,465,269.85/5,133,566,017.62 = 2,098,245,774.13/x - Step 3: Cross multiply
3,418,465,269.85x = 5,133,566,017.62 × 2,098,245,774.13 - Step 4: Simplify right side
3,418,465,269.85x = 10,771,483,202,688,538,624 - Step 5: Solve for x
x = 10,771,483,202,688,538,624/3,418,465,269.85 - Step 6: Final answer
x = 3,150,970,494.77
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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.