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Finding the Fourth Proportional to 345,645,346.90, 518,468,020.35 and 345,645,346.90

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Solution

The fourth proportional to 345,645,346.90, 518,468,020.35 and 345,645,346.90 is: 518,468,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,645,346.90 : 518,468,020.35 = 345,645,346.90 : x
  2. Step 2: Convert to fraction form
    345,645,346.90/518,468,020.35 = 345,645,346.90/x
  3. Step 3: Cross multiply
    345,645,346.90x = 518,468,020.35 × 345,645,346.90
  4. Step 4: Simplify right side
    345,645,346.90x = 179,206,058,750,432,000
  5. Step 5: Solve for x
    x = 179,206,058,750,432,000/345,645,346.90
  6. Step 6: Final answer
    x = 518,468,020.35

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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.