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Finding the Fourth Proportional to 397,889,765.38, 548,715,430.74 and 314,457,213.07

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Solution

The fourth proportional to 397,889,765.38, 548,715,430.74 and 314,457,213.07 is: 433,656,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,889,765.38 : 548,715,430.74 = 314,457,213.07 : x
  2. Step 2: Convert to fraction form
    397,889,765.38/548,715,430.74 = 314,457,213.07/x
  3. Step 3: Cross multiply
    397,889,765.38x = 548,715,430.74 × 314,457,213.07
  4. Step 4: Simplify right side
    397,889,765.38x = 172,547,525,119,004,992
  5. Step 5: Solve for x
    x = 172,547,525,119,004,992/397,889,765.38
  6. Step 6: Final answer
    x = 433,656,605.75

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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.