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Finding the Fourth Proportional to 391,140,690,630.90, 586,711,035,946.35 and 391,140,690,630.90

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Solution

The fourth proportional to 391,140,690,630.90, 586,711,035,946.35 and 391,140,690,630.90 is: 586,711,035,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,140,690,630.90 : 586,711,035,946.35 = 391,140,690,630.90 : x
  2. Step 2: Convert to fraction form
    391,140,690,630.90/586,711,035,946.35 = 391,140,690,630.90/x
  3. Step 3: Cross multiply
    391,140,690,630.90x = 586,711,035,946.35 × 391,140,690,630.90
  4. Step 4: Simplify right side
    391,140,690,630.90x = 229,486,559,800,826,139,770,880
  5. Step 5: Solve for x
    x = 229,486,559,800,826,139,770,880/391,140,690,630.90
  6. Step 6: Final answer
    x = 586,711,035,946.35

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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.