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Finding the Fourth Proportional to 597,956,515.84, 897,392,575.76 and 270,661,875.57

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Solution

The fourth proportional to 597,956,515.84, 897,392,575.76 and 270,661,875.57 is: 406,200,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,956,515.84 : 897,392,575.76 = 270,661,875.57 : x
  2. Step 2: Convert to fraction form
    597,956,515.84/897,392,575.76 = 270,661,875.57/x
  3. Step 3: Cross multiply
    597,956,515.84x = 897,392,575.76 × 270,661,875.57
  4. Step 4: Simplify right side
    597,956,515.84x = 242,889,957,677,794,912
  5. Step 5: Solve for x
    x = 242,889,957,677,794,912/597,956,515.84
  6. Step 6: Final answer
    x = 406,200,035.03

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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.