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Finding the Fourth Proportional to 618,100,501,897.40, 927,150,752,846.10 and 618,100,501,897.40

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Solution

The fourth proportional to 618,100,501,897.40, 927,150,752,846.10 and 618,100,501,897.40 is: 927,150,752,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,100,501,897.40 : 927,150,752,846.10 = 618,100,501,897.40 : x
  2. Step 2: Convert to fraction form
    618,100,501,897.40/927,150,752,846.10 = 618,100,501,897.40/x
  3. Step 3: Cross multiply
    618,100,501,897.40x = 927,150,752,846.10 × 618,100,501,897.40
  4. Step 4: Simplify right side
    618,100,501,897.40x = 573,072,345,668,726,680,453,120
  5. Step 5: Solve for x
    x = 573,072,345,668,726,680,453,120/618,100,501,897.40
  6. Step 6: Final answer
    x = 927,150,752,846.10

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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.