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Finding the Fourth Proportional to 9,305,980.30, 13,927,477.65 and 9,305,980.30

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Solution

The fourth proportional to 9,305,980.30, 13,927,477.65 and 9,305,980.30 is: 13,927,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305,980.30 : 13,927,477.65 = 9,305,980.30 : x
  2. Step 2: Convert to fraction form
    9,305,980.30/13,927,477.65 = 9,305,980.30/x
  3. Step 3: Cross multiply
    9,305,980.30x = 13,927,477.65 × 9,305,980.30
  4. Step 4: Simplify right side
    9,305,980.30x = 129,608,832,639,590.31
  5. Step 5: Solve for x
    x = 129,608,832,639,590.31/9,305,980.30
  6. Step 6: Final answer
    x = 13,927,477.65

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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.