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Finding the Fourth Proportional to 339,989,807.60, 509,984,711.40 and 266,013,220.40

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Solution

The fourth proportional to 339,989,807.60, 509,984,711.40 and 266,013,220.40 is: 399,019,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,989,807.60 : 509,984,711.40 = 266,013,220.40 : x
  2. Step 2: Convert to fraction form
    339,989,807.60/509,984,711.40 = 266,013,220.40/x
  3. Step 3: Cross multiply
    339,989,807.60x = 509,984,711.40 × 266,013,220.40
  4. Step 4: Simplify right side
    339,989,807.60x = 135,662,675,434,278,592
  5. Step 5: Solve for x
    x = 135,662,675,434,278,592/339,989,807.60
  6. Step 6: Final answer
    x = 399,019,830.60

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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.