Finding the Fourth Proportional to 1,680,474,378.67, 2,319,257,997.74 and 956,438,343.33
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Solution
The fourth proportional to 1,680,474,378.67, 2,319,257,997.74 and 956,438,343.33 is: 1,320,000,652.95
Step by Step Solution
- Step 1: Write the proportion equation
1,680,474,378.67 : 2,319,257,997.74 = 956,438,343.33 : x - Step 2: Convert to fraction form
1,680,474,378.67/2,319,257,997.74 = 956,438,343.33/x - Step 3: Cross multiply
1,680,474,378.67x = 2,319,257,997.74 × 956,438,343.33 - Step 4: Simplify right side
1,680,474,378.67x = 2,218,227,277,113,298,432 - Step 5: Solve for x
x = 2,218,227,277,113,298,432/1,680,474,378.67 - Step 6: Final answer
x = 1,320,000,652.95
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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.