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Finding the Fourth Proportional to 10,202,498.40, 15,303,747.60 and 10,202,498.40

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Solution

The fourth proportional to 10,202,498.40, 15,303,747.60 and 10,202,498.40 is: 15,303,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202,498.40 : 15,303,747.60 = 10,202,498.40 : x
  2. Step 2: Convert to fraction form
    10,202,498.40/15,303,747.60 = 10,202,498.40/x
  3. Step 3: Cross multiply
    10,202,498.40x = 15,303,747.60 × 10,202,498.40
  4. Step 4: Simplify right side
    10,202,498.40x = 156,136,460,403,003.84
  5. Step 5: Solve for x
    x = 156,136,460,403,003.84/10,202,498.40
  6. Step 6: Final answer
    x = 15,303,747.60

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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.