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Finding the Fourth Proportional to 598,051,648.80, 897,245,434.80 and 291,353,767.20

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Solution

The fourth proportional to 598,051,648.80, 897,245,434.80 and 291,353,767.20 is: 437,112,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,051,648.80 : 897,245,434.80 = 291,353,767.20 : x
  2. Step 2: Convert to fraction form
    598,051,648.80/897,245,434.80 = 291,353,767.20/x
  3. Step 3: Cross multiply
    598,051,648.80x = 897,245,434.80 × 291,353,767.20
  4. Step 4: Simplify right side
    598,051,648.80x = 261,415,837,531,981,952
  5. Step 5: Solve for x
    x = 261,415,837,531,981,952/598,051,648.80
  6. Step 6: Final answer
    x = 437,112,476.92

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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.