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Finding the Fourth Proportional to 918,332,964,000.20, 1,377,499,446,000.40 and 918,332,964,000.20

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Solution

The fourth proportional to 918,332,964,000.20, 1,377,499,446,000.40 and 918,332,964,000.20 is: 1,377,499,446,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,332,964,000.20 : 1,377,499,446,000.40 = 918,332,964,000.20 : x
  2. Step 2: Convert to fraction form
    918,332,964,000.20/1,377,499,446,000.40 = 918,332,964,000.20/x
  3. Step 3: Cross multiply
    918,332,964,000.20x = 1,377,499,446,000.40 × 918,332,964,000.20
  4. Step 4: Simplify right side
    918,332,964,000.20x = 1,265,003,149,154,180,696,899,584
  5. Step 5: Solve for x
    x = 1,265,003,149,154,180,696,899,584/918,332,964,000.20
  6. Step 6: Final answer
    x = 1,377,499,446,000.40

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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.