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Finding the Fourth Proportional to 5,202,160.40, 7,288,001.20 and 5,202,160.40

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Solution

The fourth proportional to 5,202,160.40, 7,288,001.20 and 5,202,160.40 is: 7,288,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202,160.40 : 7,288,001.20 = 5,202,160.40 : x
  2. Step 2: Convert to fraction form
    5,202,160.40/7,288,001.20 = 5,202,160.40/x
  3. Step 3: Cross multiply
    5,202,160.40x = 7,288,001.20 × 5,202,160.40
  4. Step 4: Simplify right side
    5,202,160.40x = 37,913,351,237,792.48
  5. Step 5: Solve for x
    x = 37,913,351,237,792.48/5,202,160.40
  6. Step 6: Final answer
    x = 7,288,001.20

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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.