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Finding the Fourth Proportional to 145,168,911,015.60, 217,753,366,523.40 and 145,168,911,015.60

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Solution

The fourth proportional to 145,168,911,015.60, 217,753,366,523.40 and 145,168,911,015.60 is: 217,753,366,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,168,911,015.60 : 217,753,366,523.40 = 145,168,911,015.60 : x
  2. Step 2: Convert to fraction form
    145,168,911,015.60/217,753,366,523.40 = 145,168,911,015.60/x
  3. Step 3: Cross multiply
    145,168,911,015.60x = 217,753,366,523.40 × 145,168,911,015.60
  4. Step 4: Simplify right side
    145,168,911,015.60x = 31,611,019,088,182,787,440,640
  5. Step 5: Solve for x
    x = 31,611,019,088,182,787,440,640/145,168,911,015.60
  6. Step 6: Final answer
    x = 217,753,366,523.40

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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.