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Finding the Fourth Proportional to 649,539,744.60, 974,309,616.90 and 164,865,552.60

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Solution

The fourth proportional to 649,539,744.60, 974,309,616.90 and 164,865,552.60 is: 247,298,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,539,744.60 : 974,309,616.90 = 164,865,552.60 : x
  2. Step 2: Convert to fraction form
    649,539,744.60/974,309,616.90 = 164,865,552.60/x
  3. Step 3: Cross multiply
    649,539,744.60x = 974,309,616.90 × 164,865,552.60
  4. Step 4: Simplify right side
    649,539,744.60x = 160,630,093,393,712,800
  5. Step 5: Solve for x
    x = 160,630,093,393,712,800/649,539,744.60
  6. Step 6: Final answer
    x = 247,298,328.90

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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.