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Finding the Fourth Proportional to 3,826,488,713.40, 5,730,663,143.70 and 3,826,488,713.40

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Solution

The fourth proportional to 3,826,488,713.40, 5,730,663,143.70 and 3,826,488,713.40 is: 5,730,663,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,488,713.40 : 5,730,663,143.70 = 3,826,488,713.40 : x
  2. Step 2: Convert to fraction form
    3,826,488,713.40/5,730,663,143.70 = 3,826,488,713.40/x
  3. Step 3: Cross multiply
    3,826,488,713.40x = 5,730,663,143.70 × 3,826,488,713.40
  4. Step 4: Simplify right side
    3,826,488,713.40x = 21,928,317,839,665,414,144
  5. Step 5: Solve for x
    x = 21,928,317,839,665,414,144/3,826,488,713.40
  6. Step 6: Final answer
    x = 5,730,663,143.70

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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.