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Finding the Fourth Proportional to 204,397,689,904.40, 306,596,534,856.60 and 204,397,689,904.40

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Solution

The fourth proportional to 204,397,689,904.40, 306,596,534,856.60 and 204,397,689,904.40 is: 306,596,534,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,397,689,904.40 : 306,596,534,856.60 = 204,397,689,904.40 : x
  2. Step 2: Convert to fraction form
    204,397,689,904.40/306,596,534,856.60 = 204,397,689,904.40/x
  3. Step 3: Cross multiply
    204,397,689,904.40x = 306,596,534,856.60 × 204,397,689,904.40
  4. Step 4: Simplify right side
    204,397,689,904.40x = 62,667,623,457,382,889,160,704
  5. Step 5: Solve for x
    x = 62,667,623,457,382,889,160,704/204,397,689,904.40
  6. Step 6: Final answer
    x = 306,596,534,856.60

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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.