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Finding the Fourth Proportional to 157,423,867,308.90, 236,135,800,963.35 and 157,423,867,308.90

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Solution

The fourth proportional to 157,423,867,308.90, 236,135,800,963.35 and 157,423,867,308.90 is: 236,135,800,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423,867,308.90 : 236,135,800,963.35 = 157,423,867,308.90 : x
  2. Step 2: Convert to fraction form
    157,423,867,308.90/236,135,800,963.35 = 157,423,867,308.90/x
  3. Step 3: Cross multiply
    157,423,867,308.90x = 236,135,800,963.35 × 157,423,867,308.90
  4. Step 4: Simplify right side
    157,423,867,308.90x = 37,173,410,997,735,228,702,720
  5. Step 5: Solve for x
    x = 37,173,410,997,735,228,702,720/157,423,867,308.90
  6. Step 6: Final answer
    x = 236,135,800,963.35

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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.