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Finding the Fourth Proportional to 285,154,668,114.07, 427,732,002,171.10 and 285,154,668,114.07

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Solution

The fourth proportional to 285,154,668,114.07, 427,732,002,171.10 and 285,154,668,114.07 is: 427,732,002,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,154,668,114.07 : 427,732,002,171.10 = 285,154,668,114.07 : x
  2. Step 2: Convert to fraction form
    285,154,668,114.07/427,732,002,171.10 = 285,154,668,114.07/x
  3. Step 3: Cross multiply
    285,154,668,114.07x = 427,732,002,171.10 × 285,154,668,114.07
  4. Step 4: Simplify right side
    285,154,668,114.07x = 121,969,777,120,866,677,555,200
  5. Step 5: Solve for x
    x = 121,969,777,120,866,677,555,200/285,154,668,114.07
  6. Step 6: Final answer
    x = 427,732,002,171.10

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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.