Finding the Fourth Proportional to 927,148,032,151.70, 1,390,722,048,227.60 and 778,378,564,375.70
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Solution
The fourth proportional to 927,148,032,151.70, 1,390,722,048,227.60 and 778,378,564,375.70 is: 1,167,567,846,563.59
Step by Step Solution
- Step 1: Write the proportion equation
927,148,032,151.70 : 1,390,722,048,227.60 = 778,378,564,375.70 : x - Step 2: Convert to fraction form
927,148,032,151.70/1,390,722,048,227.60 = 778,378,564,375.70/x - Step 3: Cross multiply
927,148,032,151.70x = 1,390,722,048,227.60 × 778,378,564,375.70 - Step 4: Simplify right side
927,148,032,151.70x = 1,082,508,231,345,032,275,165,184 - Step 5: Solve for x
x = 1,082,508,231,345,032,275,165,184/927,148,032,151.70 - Step 6: Final answer
x = 1,167,567,846,563.59
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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.