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Finding the Fourth Proportional to 429,982,544,007.20, 643,812,865,431.60 and 429,982,544,007.20

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Solution

The fourth proportional to 429,982,544,007.20, 643,812,865,431.60 and 429,982,544,007.20 is: 643,812,865,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,982,544,007.20 : 643,812,865,431.60 = 429,982,544,007.20 : x
  2. Step 2: Convert to fraction form
    429,982,544,007.20/643,812,865,431.60 = 429,982,544,007.20/x
  3. Step 3: Cross multiply
    429,982,544,007.20x = 643,812,865,431.60 × 429,982,544,007.20
  4. Step 4: Simplify right side
    429,982,544,007.20x = 276,828,293,742,844,471,934,976
  5. Step 5: Solve for x
    x = 276,828,293,742,844,471,934,976/429,982,544,007.20
  6. Step 6: Final answer
    x = 643,812,865,431.60

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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.