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Finding the Fourth Proportional to 812,006,241,806.30, 1,218,009,362,709.40 and 812,006,241,806.30

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Solution

The fourth proportional to 812,006,241,806.30, 1,218,009,362,709.40 and 812,006,241,806.30 is: 1,218,009,362,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,006,241,806.30 : 1,218,009,362,709.40 = 812,006,241,806.30 : x
  2. Step 2: Convert to fraction form
    812,006,241,806.30/1,218,009,362,709.40 = 812,006,241,806.30/x
  3. Step 3: Cross multiply
    812,006,241,806.30x = 1,218,009,362,709.40 × 812,006,241,806.30
  4. Step 4: Simplify right side
    812,006,241,806.30x = 989,031,205,098,546,410,815,488
  5. Step 5: Solve for x
    x = 989,031,205,098,546,410,815,488/812,006,241,806.30
  6. Step 6: Final answer
    x = 1,218,009,362,709.40

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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.