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Finding the Fourth Proportional to 2,020,797,921.40, 3,031,196,882.10 and 2,020,797,921.40

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Solution

The fourth proportional to 2,020,797,921.40, 3,031,196,882.10 and 2,020,797,921.40 is: 3,031,196,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,797,921.40 : 3,031,196,882.10 = 2,020,797,921.40 : x
  2. Step 2: Convert to fraction form
    2,020,797,921.40/3,031,196,882.10 = 2,020,797,921.40/x
  3. Step 3: Cross multiply
    2,020,797,921.40x = 3,031,196,882.10 × 2,020,797,921.40
  4. Step 4: Simplify right side
    2,020,797,921.40x = 6,125,436,358,701,841,408
  5. Step 5: Solve for x
    x = 6,125,436,358,701,841,408/2,020,797,921.40
  6. Step 6: Final answer
    x = 3,031,196,882.10

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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.