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Finding the Fourth Proportional to 895,243,620, 1,342,803,792.24 and 550,250,493.60

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Solution

The fourth proportional to 895,243,620, 1,342,803,792.24 and 550,250,493.60 is: 825,337,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,243,620 : 1,342,803,792.24 = 550,250,493.60 : x
  2. Step 2: Convert to fraction form
    895,243,620/1,342,803,792.24 = 550,250,493.60/x
  3. Step 3: Cross multiply
    895,243,620x = 1,342,803,792.24 × 550,250,493.60
  4. Step 4: Simplify right side
    895,243,620x = 738,878,449,488,011,904
  5. Step 5: Solve for x
    x = 738,878,449,488,011,904/895,243,620
  6. Step 6: Final answer
    x = 825,337,855.51

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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.