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Finding the Fourth Proportional to 598,590,709.80, 897,886,064.70 and 394,349,404.20

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Solution

The fourth proportional to 598,590,709.80, 897,886,064.70 and 394,349,404.20 is: 591,524,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,590,709.80 : 897,886,064.70 = 394,349,404.20 : x
  2. Step 2: Convert to fraction form
    598,590,709.80/897,886,064.70 = 394,349,404.20/x
  3. Step 3: Cross multiply
    598,590,709.80x = 897,886,064.70 × 394,349,404.20
  4. Step 4: Simplify right side
    598,590,709.80x = 354,080,834,653,927,680
  5. Step 5: Solve for x
    x = 354,080,834,653,927,680/598,590,709.80
  6. Step 6: Final answer
    x = 591,524,106.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.