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Finding the Fourth Proportional to 9,966,575.65, 13,962,653.75 and 9,966,575.65

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Solution

The fourth proportional to 9,966,575.65, 13,962,653.75 and 9,966,575.65 is: 13,962,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,575.65 : 13,962,653.75 = 9,966,575.65 : x
  2. Step 2: Convert to fraction form
    9,966,575.65/13,962,653.75 = 9,966,575.65/x
  3. Step 3: Cross multiply
    9,966,575.65x = 13,962,653.75 × 9,966,575.65
  4. Step 4: Simplify right side
    9,966,575.65x = 139,159,844,874,131.19
  5. Step 5: Solve for x
    x = 139,159,844,874,131.19/9,966,575.65
  6. Step 6: Final answer
    x = 13,962,653.75

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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.