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Finding the Fourth Proportional to 9,910,904.10, 13,907,152.20 and 9,910,904.10

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Solution

The fourth proportional to 9,910,904.10, 13,907,152.20 and 9,910,904.10 is: 13,907,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910,904.10 : 13,907,152.20 = 9,910,904.10 : x
  2. Step 2: Convert to fraction form
    9,910,904.10/13,907,152.20 = 9,910,904.10/x
  3. Step 3: Cross multiply
    9,910,904.10x = 13,907,152.20 × 9,910,904.10
  4. Step 4: Simplify right side
    9,910,904.10x = 137,832,451,758,304
  5. Step 5: Solve for x
    x = 137,832,451,758,304/9,910,904.10
  6. Step 6: Final answer
    x = 13,907,152.20

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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.