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Finding the Fourth Proportional to 9,787,381.10, 14,653,078.05 and 9,787,381.10

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Solution

The fourth proportional to 9,787,381.10, 14,653,078.05 and 9,787,381.10 is: 14,653,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,381.10 : 14,653,078.05 = 9,787,381.10 : x
  2. Step 2: Convert to fraction form
    9,787,381.10/14,653,078.05 = 9,787,381.10/x
  3. Step 3: Cross multiply
    9,787,381.10x = 14,653,078.05 × 9,787,381.10
  4. Step 4: Simplify right side
    9,787,381.10x = 143,415,259,163,394.84
  5. Step 5: Solve for x
    x = 143,415,259,163,394.84/9,787,381.10
  6. Step 6: Final answer
    x = 14,653,078.05

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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.