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Finding the Fourth Proportional to 460,061,780,801.70, 690,092,671,202.55 and 460,061,780,801.70

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Solution

The fourth proportional to 460,061,780,801.70, 690,092,671,202.55 and 460,061,780,801.70 is: 690,092,671,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,061,780,801.70 : 690,092,671,202.55 = 460,061,780,801.70 : x
  2. Step 2: Convert to fraction form
    460,061,780,801.70/690,092,671,202.55 = 460,061,780,801.70/x
  3. Step 3: Cross multiply
    460,061,780,801.70x = 690,092,671,202.55 × 460,061,780,801.70
  4. Step 4: Simplify right side
    460,061,780,801.70x = 317,485,263,231,647,240,683,520
  5. Step 5: Solve for x
    x = 317,485,263,231,647,240,683,520/460,061,780,801.70
  6. Step 6: Final answer
    x = 690,092,671,202.55

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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.