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Finding the Fourth Proportional to 533,910,474.40, 800,865,711.60 and 473,444,298.40

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Solution

The fourth proportional to 533,910,474.40, 800,865,711.60 and 473,444,298.40 is: 710,166,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,910,474.40 : 800,865,711.60 = 473,444,298.40 : x
  2. Step 2: Convert to fraction form
    533,910,474.40/800,865,711.60 = 473,444,298.40/x
  3. Step 3: Cross multiply
    533,910,474.40x = 800,865,711.60 × 473,444,298.40
  4. Step 4: Simplify right side
    533,910,474.40x = 379,165,304,941,078,720
  5. Step 5: Solve for x
    x = 379,165,304,941,078,720/533,910,474.40
  6. Step 6: Final answer
    x = 710,166,447.60

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