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Finding the Fourth Proportional to 183,890,406,225.15, 275,835,609,337.72 and 183,890,406,225.15

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Solution

The fourth proportional to 183,890,406,225.15, 275,835,609,337.72 and 183,890,406,225.15 is: 275,835,609,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,890,406,225.15 : 275,835,609,337.72 = 183,890,406,225.15 : x
  2. Step 2: Convert to fraction form
    183,890,406,225.15/275,835,609,337.72 = 183,890,406,225.15/x
  3. Step 3: Cross multiply
    183,890,406,225.15x = 275,835,609,337.72 × 183,890,406,225.15
  4. Step 4: Simplify right side
    183,890,406,225.15x = 50,723,522,252,475,098,726,400
  5. Step 5: Solve for x
    x = 50,723,522,252,475,098,726,400/183,890,406,225.15
  6. Step 6: Final answer
    x = 275,835,609,337.72

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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.