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Finding the Fourth Proportional to 251,728,230,849.80, 377,592,346,274.70 and 251,728,230,849.80

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Solution

The fourth proportional to 251,728,230,849.80, 377,592,346,274.70 and 251,728,230,849.80 is: 377,592,346,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,728,230,849.80 : 377,592,346,274.70 = 251,728,230,849.80 : x
  2. Step 2: Convert to fraction form
    251,728,230,849.80/377,592,346,274.70 = 251,728,230,849.80/x
  3. Step 3: Cross multiply
    251,728,230,849.80x = 377,592,346,274.70 × 251,728,230,849.80
  4. Step 4: Simplify right side
    251,728,230,849.80x = 95,050,653,310,155,304,730,624
  5. Step 5: Solve for x
    x = 95,050,653,310,155,304,730,624/251,728,230,849.80
  6. Step 6: Final answer
    x = 377,592,346,274.70

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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.