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Finding the Fourth Proportional to 496,971,614,793.60, 745,457,422,190.40 and 496,971,614,793.60

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Solution

The fourth proportional to 496,971,614,793.60, 745,457,422,190.40 and 496,971,614,793.60 is: 745,457,422,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,971,614,793.60 : 745,457,422,190.40 = 496,971,614,793.60 : x
  2. Step 2: Convert to fraction form
    496,971,614,793.60/745,457,422,190.40 = 496,971,614,793.60/x
  3. Step 3: Cross multiply
    496,971,614,793.60x = 745,457,422,190.40 × 496,971,614,793.60
  4. Step 4: Simplify right side
    496,971,614,793.60x = 370,471,178,865,837,518,880,768
  5. Step 5: Solve for x
    x = 370,471,178,865,837,518,880,768/496,971,614,793.60
  6. Step 6: Final answer
    x = 745,457,422,190.40

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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.