Finding the Fourth Proportional to 742,238,301.84, 1,024,229,122.50 and 428,992,804.68
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Solution
The fourth proportional to 742,238,301.84, 1,024,229,122.50 and 428,992,804.68 is: 591,975,545.87
Step by Step Solution
- Step 1: Write the proportion equation
742,238,301.84 : 1,024,229,122.50 = 428,992,804.68 : x - Step 2: Convert to fraction form
742,238,301.84/1,024,229,122.50 = 428,992,804.68/x - Step 3: Cross multiply
742,238,301.84x = 1,024,229,122.50 × 428,992,804.68 - Step 4: Simplify right side
742,238,301.84x = 439,386,923,896,210,304 - Step 5: Solve for x
x = 439,386,923,896,210,304/742,238,301.84 - Step 6: Final answer
x = 591,975,545.87
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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.