Finding the Fourth Proportional to 702,610,516,771.74, 969,245,670,028.08 and 458,882,652,711.66
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Solution
The fourth proportional to 702,610,516,771.74, 969,245,670,028.08 and 458,882,652,711.66 is: 633,025,002,579.45
Step by Step Solution
- Step 1: Write the proportion equation
702,610,516,771.74 : 969,245,670,028.08 = 458,882,652,711.66 : x - Step 2: Convert to fraction form
702,610,516,771.74/969,245,670,028.08 = 458,882,652,711.66/x - Step 3: Cross multiply
702,610,516,771.74x = 969,245,670,028.08 × 458,882,652,711.66 - Step 4: Simplify right side
702,610,516,771.74x = 444,770,024,191,775,609,978,880 - Step 5: Solve for x
x = 444,770,024,191,775,609,978,880/702,610,516,771.74 - Step 6: Final answer
x = 633,025,002,579.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.