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Finding the Fourth Proportional to 746,496,671.60, 1,119,745,007.40 and 712,484,447.60

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Solution

The fourth proportional to 746,496,671.60, 1,119,745,007.40 and 712,484,447.60 is: 1,068,726,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,496,671.60 : 1,119,745,007.40 = 712,484,447.60 : x
  2. Step 2: Convert to fraction form
    746,496,671.60/1,119,745,007.40 = 712,484,447.60/x
  3. Step 3: Cross multiply
    746,496,671.60x = 1,119,745,007.40 × 712,484,447.60
  4. Step 4: Simplify right side
    746,496,671.60x = 797,800,903,050,247,040
  5. Step 5: Solve for x
    x = 797,800,903,050,247,040/746,496,671.60
  6. Step 6: Final answer
    x = 1,068,726,671.40

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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.