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Finding the Fourth Proportional to 459,816,072.60, 689,724,108.90 and 459,816,072.60

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Solution

The fourth proportional to 459,816,072.60, 689,724,108.90 and 459,816,072.60 is: 689,724,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,816,072.60 : 689,724,108.90 = 459,816,072.60 : x
  2. Step 2: Convert to fraction form
    459,816,072.60/689,724,108.90 = 459,816,072.60/x
  3. Step 3: Cross multiply
    459,816,072.60x = 689,724,108.90 × 459,816,072.60
  4. Step 4: Simplify right side
    459,816,072.60x = 317,146,230,931,932,736
  5. Step 5: Solve for x
    x = 317,146,230,931,932,736/459,816,072.60
  6. Step 6: Final answer
    x = 689,724,108.90

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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.