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Finding the Fourth Proportional to 2,472,396,804,538, 3,708,595,206,807.10 and 2,472,396,804,538

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Solution

The fourth proportional to 2,472,396,804,538, 3,708,595,206,807.10 and 2,472,396,804,538 is: 3,708,595,206,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,396,804,538 : 3,708,595,206,807.10 = 2,472,396,804,538 : x
  2. Step 2: Convert to fraction form
    2,472,396,804,538/3,708,595,206,807.10 = 2,472,396,804,538/x
  3. Step 3: Cross multiply
    2,472,396,804,538x = 3,708,595,206,807.10 × 2,472,396,804,538
  4. Step 4: Simplify right side
    2,472,396,804,538x = 9,169,118,938,634,817,506,377,728
  5. Step 5: Solve for x
    x = 9,169,118,938,634,817,506,377,728/2,472,396,804,538
  6. Step 6: Final answer
    x = 3,708,595,206,807.10

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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.