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Finding the Fourth Proportional to 2,605,871,019.20, 3,908,806,528.80 and 2,605,871,019.20

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Solution

The fourth proportional to 2,605,871,019.20, 3,908,806,528.80 and 2,605,871,019.20 is: 3,908,806,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,871,019.20 : 3,908,806,528.80 = 2,605,871,019.20 : x
  2. Step 2: Convert to fraction form
    2,605,871,019.20/3,908,806,528.80 = 2,605,871,019.20/x
  3. Step 3: Cross multiply
    2,605,871,019.20x = 3,908,806,528.80 × 2,605,871,019.20
  4. Step 4: Simplify right side
    2,605,871,019.20x = 10,185,845,653,059,670,016
  5. Step 5: Solve for x
    x = 10,185,845,653,059,670,016/2,605,871,019.20
  6. Step 6: Final answer
    x = 3,908,806,528.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.