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Finding the Fourth Proportional to 1,380,745,043.08, 1,905,428,086.56 and 745,665,473.78

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Solution

The fourth proportional to 1,380,745,043.08, 1,905,428,086.56 and 745,665,473.78 is: 1,029,018,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,745,043.08 : 1,905,428,086.56 = 745,665,473.78 : x
  2. Step 2: Convert to fraction form
    1,380,745,043.08/1,905,428,086.56 = 745,665,473.78/x
  3. Step 3: Cross multiply
    1,380,745,043.08x = 1,905,428,086.56 × 745,665,473.78
  4. Step 4: Simplify right side
    1,380,745,043.08x = 1,420,811,936,908,954,112
  5. Step 5: Solve for x
    x = 1,420,811,936,908,954,112/1,380,745,043.08
  6. Step 6: Final answer
    x = 1,029,018,314.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.