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Finding the Fourth Proportional to 737,486,138.10, 1,106,229,207.15 and 737,486,138.10

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Solution

The fourth proportional to 737,486,138.10, 1,106,229,207.15 and 737,486,138.10 is: 1,106,229,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,486,138.10 : 1,106,229,207.15 = 737,486,138.10 : x
  2. Step 2: Convert to fraction form
    737,486,138.10/1,106,229,207.15 = 737,486,138.10/x
  3. Step 3: Cross multiply
    737,486,138.10x = 1,106,229,207.15 × 737,486,138.10
  4. Step 4: Simplify right side
    737,486,138.10x = 815,828,705,834,478,464
  5. Step 5: Solve for x
    x = 815,828,705,834,478,464/737,486,138.10
  6. Step 6: Final answer
    x = 1,106,229,207.15

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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.