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Finding the Fourth Proportional to 618,101,183,863.70, 927,151,775,795.55 and 618,101,183,863.70

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Solution

The fourth proportional to 618,101,183,863.70, 927,151,775,795.55 and 618,101,183,863.70 is: 927,151,775,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,101,183,863.70 : 927,151,775,795.55 = 618,101,183,863.70 : x
  2. Step 2: Convert to fraction form
    618,101,183,863.70/927,151,775,795.55 = 618,101,183,863.70/x
  3. Step 3: Cross multiply
    618,101,183,863.70x = 927,151,775,795.55 × 618,101,183,863.70
  4. Step 4: Simplify right side
    618,101,183,863.70x = 573,073,610,240,561,174,806,528
  5. Step 5: Solve for x
    x = 573,073,610,240,561,174,806,528/618,101,183,863.70
  6. Step 6: Final answer
    x = 927,151,775,795.55

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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.