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Finding the Fourth Proportional to 255,424,527,793.80, 383,136,791,690.70 and 255,424,527,793.80

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Solution

The fourth proportional to 255,424,527,793.80, 383,136,791,690.70 and 255,424,527,793.80 is: 383,136,791,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,424,527,793.80 : 383,136,791,690.70 = 255,424,527,793.80 : x
  2. Step 2: Convert to fraction form
    255,424,527,793.80/383,136,791,690.70 = 255,424,527,793.80/x
  3. Step 3: Cross multiply
    255,424,527,793.80x = 383,136,791,690.70 × 255,424,527,793.80
  4. Step 4: Simplify right side
    255,424,527,793.80x = 97,862,534,098,028,561,694,720
  5. Step 5: Solve for x
    x = 97,862,534,098,028,561,694,720/255,424,527,793.80
  6. Step 6: Final answer
    x = 383,136,791,690.70

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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.