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Finding the Fourth Proportional to 12,292,784.30, 17,176,305.70 and 12,292,784.30

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Solution

The fourth proportional to 12,292,784.30, 17,176,305.70 and 12,292,784.30 is: 17,176,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292,784.30 : 17,176,305.70 = 12,292,784.30 : x
  2. Step 2: Convert to fraction form
    12,292,784.30/17,176,305.70 = 12,292,784.30/x
  3. Step 3: Cross multiply
    12,292,784.30x = 17,176,305.70 × 12,292,784.30
  4. Step 4: Simplify right side
    12,292,784.30x = 211,144,621,040,960.50
  5. Step 5: Solve for x
    x = 211,144,621,040,960.50/12,292,784.30
  6. Step 6: Final answer
    x = 17,176,305.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.