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Finding the Fourth Proportional to 76,615,315.20, 114,922,972.80 and 76,615,315.20

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Solution

The fourth proportional to 76,615,315.20, 114,922,972.80 and 76,615,315.20 is: 114,922,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615,315.20 : 114,922,972.80 = 76,615,315.20 : x
  2. Step 2: Convert to fraction form
    76,615,315.20/114,922,972.80 = 76,615,315.20/x
  3. Step 3: Cross multiply
    76,615,315.20x = 114,922,972.80 × 76,615,315.20
  4. Step 4: Simplify right side
    76,615,315.20x = 8,804,859,784,793,027
  5. Step 5: Solve for x
    x = 8,804,859,784,793,027/76,615,315.20
  6. Step 6: Final answer
    x = 114,922,972.80

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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.