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Finding the Fourth Proportional to 713,098,409,710.20, 1,069,647,614,565.30 and 713,098,409,710.20

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Solution

The fourth proportional to 713,098,409,710.20, 1,069,647,614,565.30 and 713,098,409,710.20 is: 1,069,647,614,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,098,409,710.20 : 1,069,647,614,565.30 = 713,098,409,710.20 : x
  2. Step 2: Convert to fraction form
    713,098,409,710.20/1,069,647,614,565.30 = 713,098,409,710.20/x
  3. Step 3: Cross multiply
    713,098,409,710.20x = 1,069,647,614,565.30 × 713,098,409,710.20
  4. Step 4: Simplify right side
    713,098,409,710.20x = 762,764,012,896,824,336,580,608
  5. Step 5: Solve for x
    x = 762,764,012,896,824,336,580,608/713,098,409,710.20
  6. Step 6: Final answer
    x = 1,069,647,614,565.30

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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.