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Finding the Fourth Proportional to 484,383,564,148.80, 726,575,346,223.20 and 484,383,564,148.80

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Solution

The fourth proportional to 484,383,564,148.80, 726,575,346,223.20 and 484,383,564,148.80 is: 726,575,346,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,383,564,148.80 : 726,575,346,223.20 = 484,383,564,148.80 : x
  2. Step 2: Convert to fraction form
    484,383,564,148.80/726,575,346,223.20 = 484,383,564,148.80/x
  3. Step 3: Cross multiply
    484,383,564,148.80x = 726,575,346,223.20 × 484,383,564,148.80
  4. Step 4: Simplify right side
    484,383,564,148.80x = 351,941,155,826,241,915,322,368
  5. Step 5: Solve for x
    x = 351,941,155,826,241,915,322,368/484,383,564,148.80
  6. Step 6: Final answer
    x = 726,575,346,223.20

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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.