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Finding the Fourth Proportional to 7,202,898.10, 10,100,853.50 and 7,202,898.10

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Solution

The fourth proportional to 7,202,898.10, 10,100,853.50 and 7,202,898.10 is: 10,100,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202,898.10 : 10,100,853.50 = 7,202,898.10 : x
  2. Step 2: Convert to fraction form
    7,202,898.10/10,100,853.50 = 7,202,898.10/x
  3. Step 3: Cross multiply
    7,202,898.10x = 10,100,853.50 × 7,202,898.10
  4. Step 4: Simplify right side
    7,202,898.10x = 72,755,418,483,528.34
  5. Step 5: Solve for x
    x = 72,755,418,483,528.34/7,202,898.10
  6. Step 6: Final answer
    x = 10,100,853.50

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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.