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Finding the Fourth Proportional to 488,374,677,532.80, 732,562,016,299.20 and 488,374,677,532.80

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Solution

The fourth proportional to 488,374,677,532.80, 732,562,016,299.20 and 488,374,677,532.80 is: 732,562,016,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,374,677,532.80 : 732,562,016,299.20 = 488,374,677,532.80 : x
  2. Step 2: Convert to fraction form
    488,374,677,532.80/732,562,016,299.20 = 488,374,677,532.80/x
  3. Step 3: Cross multiply
    488,374,677,532.80x = 732,562,016,299.20 × 488,374,677,532.80
  4. Step 4: Simplify right side
    488,374,677,532.80x = 357,764,738,482,899,550,994,432
  5. Step 5: Solve for x
    x = 357,764,738,482,899,550,994,432/488,374,677,532.80
  6. Step 6: Final answer
    x = 732,562,016,299.20

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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.