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Finding the Fourth Proportional to 484,477,355.90, 726,716,033.85 and 484,477,355.90

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Solution

The fourth proportional to 484,477,355.90, 726,716,033.85 and 484,477,355.90 is: 726,716,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,477,355.90 : 726,716,033.85 = 484,477,355.90 : x
  2. Step 2: Convert to fraction form
    484,477,355.90/726,716,033.85 = 484,477,355.90/x
  3. Step 3: Cross multiply
    484,477,355.90x = 726,716,033.85 × 484,477,355.90
  4. Step 4: Simplify right side
    484,477,355.90x = 352,077,462,569,782,912
  5. Step 5: Solve for x
    x = 352,077,462,569,782,912/484,477,355.90
  6. Step 6: Final answer
    x = 726,716,033.85

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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.