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Finding the Fourth Proportional to 159,314,138.90, 238,971,208.35 and 159,314,138.90

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Solution

The fourth proportional to 159,314,138.90, 238,971,208.35 and 159,314,138.90 is: 238,971,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,314,138.90 : 238,971,208.35 = 159,314,138.90 : x
  2. Step 2: Convert to fraction form
    159,314,138.90/238,971,208.35 = 159,314,138.90/x
  3. Step 3: Cross multiply
    159,314,138.90x = 238,971,208.35 × 159,314,138.90
  4. Step 4: Simplify right side
    159,314,138.90x = 38,071,492,280,172,744
  5. Step 5: Solve for x
    x = 38,071,492,280,172,744/159,314,138.90
  6. Step 6: Final answer
    x = 238,971,208.35

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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.