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Finding the Fourth Proportional to 76,809,968.40, 115,214,952.60 and 76,809,968.40

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Solution

The fourth proportional to 76,809,968.40, 115,214,952.60 and 76,809,968.40 is: 115,214,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809,968.40 : 115,214,952.60 = 76,809,968.40 : x
  2. Step 2: Convert to fraction form
    76,809,968.40/115,214,952.60 = 76,809,968.40/x
  3. Step 3: Cross multiply
    76,809,968.40x = 115,214,952.60 × 76,809,968.40
  4. Step 4: Simplify right side
    76,809,968.40x = 8,849,656,868,413,498
  5. Step 5: Solve for x
    x = 8,849,656,868,413,498/76,809,968.40
  6. Step 6: Final answer
    x = 115,214,952.60

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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.