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Finding the Fourth Proportional to 523,077,802.90, 784,616,704.35 and 441,448,465.30

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Solution

The fourth proportional to 523,077,802.90, 784,616,704.35 and 441,448,465.30 is: 662,172,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,077,802.90 : 784,616,704.35 = 441,448,465.30 : x
  2. Step 2: Convert to fraction form
    523,077,802.90/784,616,704.35 = 441,448,465.30/x
  3. Step 3: Cross multiply
    523,077,802.90x = 784,616,704.35 × 441,448,465.30
  4. Step 4: Simplify right side
    523,077,802.90x = 346,367,839,984,051,328
  5. Step 5: Solve for x
    x = 346,367,839,984,051,328/523,077,802.90
  6. Step 6: Final answer
    x = 662,172,697.95

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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.