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Finding the Fourth Proportional to 154,525,287,727.80, 231,787,931,591.70 and 154,525,287,727.80

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Solution

The fourth proportional to 154,525,287,727.80, 231,787,931,591.70 and 154,525,287,727.80 is: 231,787,931,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,525,287,727.80 : 231,787,931,591.70 = 154,525,287,727.80 : x
  2. Step 2: Convert to fraction form
    154,525,287,727.80/231,787,931,591.70 = 154,525,287,727.80/x
  3. Step 3: Cross multiply
    154,525,287,727.80x = 231,787,931,591.70 × 154,525,287,727.80
  4. Step 4: Simplify right side
    154,525,287,727.80x = 35,817,096,821,039,064,678,400
  5. Step 5: Solve for x
    x = 35,817,096,821,039,064,678,400/154,525,287,727.80
  6. Step 6: Final answer
    x = 231,787,931,591.70

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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.