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Finding the Fourth Proportional to 918,678,639.80, 1,378,017,959.70 and 918,678,639.80

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Solution

The fourth proportional to 918,678,639.80, 1,378,017,959.70 and 918,678,639.80 is: 1,378,017,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,678,639.80 : 1,378,017,959.70 = 918,678,639.80 : x
  2. Step 2: Convert to fraction form
    918,678,639.80/1,378,017,959.70 = 918,678,639.80/x
  3. Step 3: Cross multiply
    918,678,639.80x = 1,378,017,959.70 × 918,678,639.80
  4. Step 4: Simplify right side
    918,678,639.80x = 1,265,955,664,837,167,104
  5. Step 5: Solve for x
    x = 1,265,955,664,837,167,104/918,678,639.80
  6. Step 6: Final answer
    x = 1,378,017,959.70

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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.