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Finding the Fourth Proportional to 919,304,047.70, 1,378,956,071.55 and 919,304,047.70

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Solution

The fourth proportional to 919,304,047.70, 1,378,956,071.55 and 919,304,047.70 is: 1,378,956,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,304,047.70 : 1,378,956,071.55 = 919,304,047.70 : x
  2. Step 2: Convert to fraction form
    919,304,047.70/1,378,956,071.55 = 919,304,047.70/x
  3. Step 3: Cross multiply
    919,304,047.70x = 1,378,956,071.55 × 919,304,047.70
  4. Step 4: Simplify right side
    919,304,047.70x = 1,267,679,898,176,405,760
  5. Step 5: Solve for x
    x = 1,267,679,898,176,405,760/919,304,047.70
  6. Step 6: Final answer
    x = 1,378,956,071.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.