Finding the Fourth Proportional to 669,078,273,770.40, 1,003,616,157,898.40 and 209,648,115,294.84
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Solution
The fourth proportional to 669,078,273,770.40, 1,003,616,157,898.40 and 209,648,115,294.84 is: 314,471,780,404.95
Step by Step Solution
- Step 1: Write the proportion equation
669,078,273,770.40 : 1,003,616,157,898.40 = 209,648,115,294.84 : x - Step 2: Convert to fraction form
669,078,273,770.40/1,003,616,157,898.40 = 209,648,115,294.84/x - Step 3: Cross multiply
669,078,273,770.40x = 1,003,616,157,898.40 × 209,648,115,294.84 - Step 4: Simplify right side
669,078,273,770.40x = 210,406,235,982,848,101,187,584 - Step 5: Solve for x
x = 210,406,235,982,848,101,187,584/669,078,273,770.40 - Step 6: Final answer
x = 314,471,780,404.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.