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Finding the Fourth Proportional to 8,160,363,864.60, 11,446,277,233.80 and 8,160,363,864.60

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Solution

The fourth proportional to 8,160,363,864.60, 11,446,277,233.80 and 8,160,363,864.60 is: 11,446,277,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160,363,864.60 : 11,446,277,233.80 = 8,160,363,864.60 : x
  2. Step 2: Convert to fraction form
    8,160,363,864.60/11,446,277,233.80 = 8,160,363,864.60/x
  3. Step 3: Cross multiply
    8,160,363,864.60x = 11,446,277,233.80 × 8,160,363,864.60
  4. Step 4: Simplify right side
    8,160,363,864.60x = 93,405,787,122,895,159,296
  5. Step 5: Solve for x
    x = 93,405,787,122,895,159,296/8,160,363,864.60
  6. Step 6: Final answer
    x = 11,446,277,233.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.