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Finding the Fourth Proportional to 918,678,640.30, 1,378,017,960.45 and 918,678,640.30

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Solution

The fourth proportional to 918,678,640.30, 1,378,017,960.45 and 918,678,640.30 is: 1,378,017,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,678,640.30 : 1,378,017,960.45 = 918,678,640.30 : x
  2. Step 2: Convert to fraction form
    918,678,640.30/1,378,017,960.45 = 918,678,640.30/x
  3. Step 3: Cross multiply
    918,678,640.30x = 1,378,017,960.45 × 918,678,640.30
  4. Step 4: Simplify right side
    918,678,640.30x = 1,265,955,666,215,185,152
  5. Step 5: Solve for x
    x = 1,265,955,666,215,185,152/918,678,640.30
  6. Step 6: Final answer
    x = 1,378,017,960.45

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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.