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Finding the Fourth Proportional to 125,207,950,920.40, 187,811,926,380.60 and 125,207,950,920.40

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Solution

The fourth proportional to 125,207,950,920.40, 187,811,926,380.60 and 125,207,950,920.40 is: 187,811,926,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,207,950,920.40 : 187,811,926,380.60 = 125,207,950,920.40 : x
  2. Step 2: Convert to fraction form
    125,207,950,920.40/187,811,926,380.60 = 125,207,950,920.40/x
  3. Step 3: Cross multiply
    125,207,950,920.40x = 187,811,926,380.60 × 125,207,950,920.40
  4. Step 4: Simplify right side
    125,207,950,920.40x = 23,515,546,460,527,941,124,096
  5. Step 5: Solve for x
    x = 23,515,546,460,527,941,124,096/125,207,950,920.40
  6. Step 6: Final answer
    x = 187,811,926,380.60

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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.