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Finding the Fourth Proportional to 523,077,802.40, 784,616,703.60 and 441,448,464.80

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Solution

The fourth proportional to 523,077,802.40, 784,616,703.60 and 441,448,464.80 is: 662,172,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,077,802.40 : 784,616,703.60 = 441,448,464.80 : x
  2. Step 2: Convert to fraction form
    523,077,802.40/784,616,703.60 = 441,448,464.80/x
  3. Step 3: Cross multiply
    523,077,802.40x = 784,616,703.60 × 441,448,464.80
  4. Step 4: Simplify right side
    523,077,802.40x = 346,367,839,260,656,640
  5. Step 5: Solve for x
    x = 346,367,839,260,656,640/523,077,802.40
  6. Step 6: Final answer
    x = 662,172,697.20

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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.