Finding the Fourth Proportional to 611,245,408,827.80, 916,868,113,241.70 and 611,245,408,827.80
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Solution
The fourth proportional to 611,245,408,827.80, 916,868,113,241.70 and 611,245,408,827.80 is: 916,868,113,241.70
Step by Step Solution
- Step 1: Write the proportion equation
611,245,408,827.80 : 916,868,113,241.70 = 611,245,408,827.80 : x - Step 2: Convert to fraction form
611,245,408,827.80/916,868,113,241.70 = 611,245,408,827.80/x - Step 3: Cross multiply
611,245,408,827.80x = 916,868,113,241.70 × 611,245,408,827.80 - Step 4: Simplify right side
611,245,408,827.80x = 560,431,424,719,596,535,414,784 - Step 5: Solve for x
x = 560,431,424,719,596,535,414,784/611,245,408,827.80 - Step 6: Final answer
x = 916,868,113,241.70
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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.