Finding the Fourth Proportional to 4,156,125,130.14, 6,234,989,769.26 and 1,357,341,257.02
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Solution
The fourth proportional to 4,156,125,130.14, 6,234,989,769.26 and 1,357,341,257.02 is: 2,036,273,833.42
Step by Step Solution
- Step 1: Write the proportion equation
4,156,125,130.14 : 6,234,989,769.26 = 1,357,341,257.02 : x - Step 2: Convert to fraction form
4,156,125,130.14/6,234,989,769.26 = 1,357,341,257.02/x - Step 3: Cross multiply
4,156,125,130.14x = 6,234,989,769.26 × 1,357,341,257.02 - Step 4: Simplify right side
4,156,125,130.14x = 8,463,008,850,914,208,768 - Step 5: Solve for x
x = 8,463,008,850,914,208,768/4,156,125,130.14 - Step 6: Final answer
x = 2,036,273,833.42
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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.