Finding the Fourth Proportional to 1,096,102,912.05, 1,644,154,368.08 and 514,972,178.55
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Solution
The fourth proportional to 1,096,102,912.05, 1,644,154,368.08 and 514,972,178.55 is: 772,458,267.83
Step by Step Solution
- Step 1: Write the proportion equation
1,096,102,912.05 : 1,644,154,368.08 = 514,972,178.55 : x - Step 2: Convert to fraction form
1,096,102,912.05/1,644,154,368.08 = 514,972,178.55/x - Step 3: Cross multiply
1,096,102,912.05x = 1,644,154,368.08 × 514,972,178.55 - Step 4: Simplify right side
1,096,102,912.05x = 846,693,756,800,081,408 - Step 5: Solve for x
x = 846,693,756,800,081,408/1,096,102,912.05 - Step 6: Final answer
x = 772,458,267.83
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Double scale
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1.5x scale
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.