Finding the Fourth Proportional to 3,006,992,533.16, 4,149,678,013.68 and 1,686,921,432.68
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Solution
The fourth proportional to 3,006,992,533.16, 4,149,678,013.68 and 1,686,921,432.68 is: 2,327,967,463.44
Step by Step Solution
- Step 1: Write the proportion equation
3,006,992,533.16 : 4,149,678,013.68 = 1,686,921,432.68 : x - Step 2: Convert to fraction form
3,006,992,533.16/4,149,678,013.68 = 1,686,921,432.68/x - Step 3: Cross multiply
3,006,992,533.16x = 4,149,678,013.68 × 1,686,921,432.68 - Step 4: Simplify right side
3,006,992,533.16x = 7,000,180,779,997,762,560 - Step 5: Solve for x
x = 7,000,180,779,997,762,560/3,006,992,533.16 - Step 6: Final answer
x = 2,327,967,463.44
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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.