Finding the Fourth Proportional to 224,048,912,283.36, 309,188,430,489.60 and 121,166,031,953.28
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Solution
The fourth proportional to 224,048,912,283.36, 309,188,430,489.60 and 121,166,031,953.28 is: 167,209,627,873.16
Step by Step Solution
- Step 1: Write the proportion equation
224,048,912,283.36 : 309,188,430,489.60 = 121,166,031,953.28 : x - Step 2: Convert to fraction form
224,048,912,283.36/309,188,430,489.60 = 121,166,031,953.28/x - Step 3: Cross multiply
224,048,912,283.36x = 309,188,430,489.60 × 121,166,031,953.28 - Step 4: Simplify right side
224,048,912,283.36x = 37,463,135,248,287,363,235,840 - Step 5: Solve for x
x = 37,463,135,248,287,363,235,840/224,048,912,283.36 - Step 6: Final answer
x = 167,209,627,873.16
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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.