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Finding the Fourth Proportional to 559,877,405.80, 839,816,108.70 and 509,712,874.60

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Solution

The fourth proportional to 559,877,405.80, 839,816,108.70 and 509,712,874.60 is: 764,569,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,877,405.80 : 839,816,108.70 = 509,712,874.60 : x
  2. Step 2: Convert to fraction form
    559,877,405.80/839,816,108.70 = 509,712,874.60/x
  3. Step 3: Cross multiply
    559,877,405.80x = 839,816,108.70 × 509,712,874.60
  4. Step 4: Simplify right side
    559,877,405.80x = 428,065,082,900,863,104
  5. Step 5: Solve for x
    x = 428,065,082,900,863,104/559,877,405.80
  6. Step 6: Final answer
    x = 764,569,311.90

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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.