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Finding the Fourth Proportional to 7,776,004.90, 11,664,007.35 and 7,776,004.90

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Solution

The fourth proportional to 7,776,004.90, 11,664,007.35 and 7,776,004.90 is: 11,664,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,004.90 : 11,664,007.35 = 7,776,004.90 : x
  2. Step 2: Convert to fraction form
    7,776,004.90/11,664,007.35 = 7,776,004.90/x
  3. Step 3: Cross multiply
    7,776,004.90x = 11,664,007.35 × 7,776,004.90
  4. Step 4: Simplify right side
    7,776,004.90x = 90,699,378,307,236.02
  5. Step 5: Solve for x
    x = 90,699,378,307,236.02/7,776,004.90
  6. Step 6: Final answer
    x = 11,664,007.35

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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.