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Finding the Fourth Proportional to 9,702,394.10, 13,603,258.30 and 9,702,394.10

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Solution

The fourth proportional to 9,702,394.10, 13,603,258.30 and 9,702,394.10 is: 13,603,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,394.10 : 13,603,258.30 = 9,702,394.10 : x
  2. Step 2: Convert to fraction form
    9,702,394.10/13,603,258.30 = 9,702,394.10/x
  3. Step 3: Cross multiply
    9,702,394.10x = 13,603,258.30 × 9,702,394.10
  4. Step 4: Simplify right side
    9,702,394.10x = 131,984,173,070,696.03
  5. Step 5: Solve for x
    x = 131,984,173,070,696.03/9,702,394.10
  6. Step 6: Final answer
    x = 13,603,258.30

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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.