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Finding the Fourth Proportional to 460,061,780,793.20, 690,092,671,189.80 and 460,061,780,793.20

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Solution

The fourth proportional to 460,061,780,793.20, 690,092,671,189.80 and 460,061,780,793.20 is: 690,092,671,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,061,780,793.20 : 690,092,671,189.80 = 460,061,780,793.20 : x
  2. Step 2: Convert to fraction form
    460,061,780,793.20/690,092,671,189.80 = 460,061,780,793.20/x
  3. Step 3: Cross multiply
    460,061,780,793.20x = 690,092,671,189.80 × 460,061,780,793.20
  4. Step 4: Simplify right side
    460,061,780,793.20x = 317,485,263,219,915,671,732,224
  5. Step 5: Solve for x
    x = 317,485,263,219,915,671,732,224/460,061,780,793.20
  6. Step 6: Final answer
    x = 690,092,671,189.80

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1.5x scale

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.