Finding the Fourth Proportional to 582,230,206,936.66, 877,319,460,471.50 and 478,437,352,213.54
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Solution
The fourth proportional to 582,230,206,936.66, 877,319,460,471.50 and 478,437,352,213.54 is: 720,921,715,693.56
Step by Step Solution
- Step 1: Write the proportion equation
582,230,206,936.66 : 877,319,460,471.50 = 478,437,352,213.54 : x - Step 2: Convert to fraction form
582,230,206,936.66/877,319,460,471.50 = 478,437,352,213.54/x - Step 3: Cross multiply
582,230,206,936.66x = 877,319,460,471.50 × 478,437,352,213.54 - Step 4: Simplify right side
582,230,206,936.66x = 419,742,399,713,395,928,465,408 - Step 5: Solve for x
x = 419,742,399,713,395,928,465,408/582,230,206,936.66 - Step 6: Final answer
x = 720,921,715,693.56
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.