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Finding the Fourth Proportional to 539,764,497.73, 809,646,746.37 and 130,820,648.23

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Solution

The fourth proportional to 539,764,497.73, 809,646,746.37 and 130,820,648.23 is: 196,230,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,764,497.73 : 809,646,746.37 = 130,820,648.23 : x
  2. Step 2: Convert to fraction form
    539,764,497.73/809,646,746.37 = 130,820,648.23/x
  3. Step 3: Cross multiply
    539,764,497.73x = 809,646,746.37 × 130,820,648.23
  4. Step 4: Simplify right side
    539,764,497.73x = 105,918,512,197,433,808
  5. Step 5: Solve for x
    x = 105,918,512,197,433,808/539,764,497.73
  6. Step 6: Final answer
    x = 196,230,972.29

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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.