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Finding the Fourth Proportional to 651,953,281,375.80, 977,348,313,033.30 and 254,367,388,927.80

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Solution

The fourth proportional to 651,953,281,375.80, 977,348,313,033.30 and 254,367,388,927.80 is: 381,324,161,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,953,281,375.80 : 977,348,313,033.30 = 254,367,388,927.80 : x
  2. Step 2: Convert to fraction form
    651,953,281,375.80/977,348,313,033.30 = 254,367,388,927.80/x
  3. Step 3: Cross multiply
    651,953,281,375.80x = 977,348,313,033.30 × 254,367,388,927.80
  4. Step 4: Simplify right side
    651,953,281,375.80x = 248,605,538,459,270,659,440,640
  5. Step 5: Solve for x
    x = 248,605,538,459,270,659,440,640/651,953,281,375.80
  6. Step 6: Final answer
    x = 381,324,161,655.64

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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.