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Finding the Fourth Proportional to 9,661,705.10, 13,546,293.70 and 9,661,705.10

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Solution

The fourth proportional to 9,661,705.10, 13,546,293.70 and 9,661,705.10 is: 13,546,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661,705.10 : 13,546,293.70 = 9,661,705.10 : x
  2. Step 2: Convert to fraction form
    9,661,705.10/13,546,293.70 = 9,661,705.10/x
  3. Step 3: Cross multiply
    9,661,705.10x = 13,546,293.70 × 9,661,705.10
  4. Step 4: Simplify right side
    9,661,705.10x = 130,880,294,927,387.86
  5. Step 5: Solve for x
    x = 130,880,294,927,387.86/9,661,705.10
  6. Step 6: Final answer
    x = 13,546,293.70

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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.