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Finding the Fourth Proportional to 26,816,176,009.70, 40,224,264,014.56 and 26,816,176,009.70

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Solution

The fourth proportional to 26,816,176,009.70, 40,224,264,014.56 and 26,816,176,009.70 is: 40,224,264,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816,176,009.70 : 40,224,264,014.56 = 26,816,176,009.70 : x
  2. Step 2: Convert to fraction form
    26,816,176,009.70/40,224,264,014.56 = 26,816,176,009.70/x
  3. Step 3: Cross multiply
    26,816,176,009.70x = 40,224,264,014.56 × 26,816,176,009.70
  4. Step 4: Simplify right side
    26,816,176,009.70x = 1,078,660,943,675,082,801,152
  5. Step 5: Solve for x
    x = 1,078,660,943,675,082,801,152/26,816,176,009.70
  6. Step 6: Final answer
    x = 40,224,264,014.56

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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.