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Finding the Fourth Proportional to 39,780,331,218.60, 59,670,496,827.90 and 39,780,331,218.60

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Solution

The fourth proportional to 39,780,331,218.60, 59,670,496,827.90 and 39,780,331,218.60 is: 59,670,496,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780,331,218.60 : 59,670,496,827.90 = 39,780,331,218.60 : x
  2. Step 2: Convert to fraction form
    39,780,331,218.60/59,670,496,827.90 = 39,780,331,218.60/x
  3. Step 3: Cross multiply
    39,780,331,218.60x = 59,670,496,827.90 × 39,780,331,218.60
  4. Step 4: Simplify right side
    39,780,331,218.60x = 2,373,712,127,792,282,861,568
  5. Step 5: Solve for x
    x = 2,373,712,127,792,282,861,568/39,780,331,218.60
  6. Step 6: Final answer
    x = 59,670,496,827.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.