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Finding the Fourth Proportional to 559,585,984.80, 839,378,977.20 and 442,684,711.20

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Solution

The fourth proportional to 559,585,984.80, 839,378,977.20 and 442,684,711.20 is: 664,027,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,585,984.80 : 839,378,977.20 = 442,684,711.20 : x
  2. Step 2: Convert to fraction form
    559,585,984.80/839,378,977.20 = 442,684,711.20/x
  3. Step 3: Cross multiply
    559,585,984.80x = 839,378,977.20 × 442,684,711.20
  4. Step 4: Simplify right side
    559,585,984.80x = 371,580,240,109,133,376
  5. Step 5: Solve for x
    x = 371,580,240,109,133,376/559,585,984.80
  6. Step 6: Final answer
    x = 664,027,066.80

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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.