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Finding the Fourth Proportional to 525,420,438.38, 724,959,912.36 and 313,686,060.72

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Solution

The fourth proportional to 525,420,438.38, 724,959,912.36 and 313,686,060.72 is: 432,814,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,420,438.38 : 724,959,912.36 = 313,686,060.72 : x
  2. Step 2: Convert to fraction form
    525,420,438.38/724,959,912.36 = 313,686,060.72/x
  3. Step 3: Cross multiply
    525,420,438.38x = 724,959,912.36 × 313,686,060.72
  4. Step 4: Simplify right side
    525,420,438.38x = 227,409,819,088,124,864
  5. Step 5: Solve for x
    x = 227,409,819,088,124,864/525,420,438.38
  6. Step 6: Final answer
    x = 432,814,946.81

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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.