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Finding the Fourth Proportional to 171,912,771,233.60, 257,869,156,850.40 and 171,912,771,233.60

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Solution

The fourth proportional to 171,912,771,233.60, 257,869,156,850.40 and 171,912,771,233.60 is: 257,869,156,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,912,771,233.60 : 257,869,156,850.40 = 171,912,771,233.60 : x
  2. Step 2: Convert to fraction form
    171,912,771,233.60/257,869,156,850.40 = 171,912,771,233.60/x
  3. Step 3: Cross multiply
    171,912,771,233.60x = 257,869,156,850.40 × 171,912,771,233.60
  4. Step 4: Simplify right side
    171,912,771,233.60x = 44,331,001,369,824,130,498,560
  5. Step 5: Solve for x
    x = 44,331,001,369,824,130,498,560/171,912,771,233.60
  6. Step 6: Final answer
    x = 257,869,156,850.40

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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.