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Finding the Fourth Proportional to 10,202,112,411.90, 15,278,982,147.45 and 10,202,112,411.90

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Solution

The fourth proportional to 10,202,112,411.90, 15,278,982,147.45 and 10,202,112,411.90 is: 15,278,982,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202,112,411.90 : 15,278,982,147.45 = 10,202,112,411.90 : x
  2. Step 2: Convert to fraction form
    10,202,112,411.90/15,278,982,147.45 = 10,202,112,411.90/x
  3. Step 3: Cross multiply
    10,202,112,411.90x = 15,278,982,147.45 × 10,202,112,411.90
  4. Step 4: Simplify right side
    10,202,112,411.90x = 155,877,893,407,698,157,568
  5. Step 5: Solve for x
    x = 155,877,893,407,698,157,568/10,202,112,411.90
  6. Step 6: Final answer
    x = 15,278,982,147.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.