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Finding the Fourth Proportional to 725,668,771.92, 1,001,507,922.64 and 412,450,068.24

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Solution

The fourth proportional to 725,668,771.92, 1,001,507,922.64 and 412,450,068.24 is: 569,229,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,668,771.92 : 1,001,507,922.64 = 412,450,068.24 : x
  2. Step 2: Convert to fraction form
    725,668,771.92/1,001,507,922.64 = 412,450,068.24/x
  3. Step 3: Cross multiply
    725,668,771.92x = 1,001,507,922.64 × 412,450,068.24
  4. Step 4: Simplify right side
    725,668,771.92x = 413,072,011,035,768,640
  5. Step 5: Solve for x
    x = 413,072,011,035,768,640/725,668,771.92
  6. Step 6: Final answer
    x = 569,229,415.71

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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.