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Finding the Fourth Proportional to 9,786,828.10, 14,652,248.55 and 9,786,828.10

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Solution

The fourth proportional to 9,786,828.10, 14,652,248.55 and 9,786,828.10 is: 14,652,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,828.10 : 14,652,248.55 = 9,786,828.10 : x
  2. Step 2: Convert to fraction form
    9,786,828.10/14,652,248.55 = 9,786,828.10/x
  3. Step 3: Cross multiply
    9,786,828.10x = 14,652,248.55 × 9,786,828.10
  4. Step 4: Simplify right side
    9,786,828.10x = 143,399,037,837,324.25
  5. Step 5: Solve for x
    x = 143,399,037,837,324.25/9,786,828.10
  6. Step 6: Final answer
    x = 14,652,248.55

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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.