Finding the Fourth Proportional to 414,443,214.14, 571,928,674.50 and 226,271,502.18
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Solution
The fourth proportional to 414,443,214.14, 571,928,674.50 and 226,271,502.18 is: 312,253,056.40
Step by Step Solution
- Step 1: Write the proportion equation
414,443,214.14 : 571,928,674.50 = 226,271,502.18 : x - Step 2: Convert to fraction form
414,443,214.14/571,928,674.50 = 226,271,502.18/x - Step 3: Cross multiply
414,443,214.14x = 571,928,674.50 × 226,271,502.18 - Step 4: Simplify right side
414,443,214.14x = 129,411,160,318,931,264 - Step 5: Solve for x
x = 129,411,160,318,931,264/414,443,214.14 - Step 6: Final answer
x = 312,253,056.40
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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.