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Finding the Fourth Proportional to 840,151,808.30, 1,260,227,712.45 and 840,151,808.30

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Solution

The fourth proportional to 840,151,808.30, 1,260,227,712.45 and 840,151,808.30 is: 1,260,227,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,151,808.30 : 1,260,227,712.45 = 840,151,808.30 : x
  2. Step 2: Convert to fraction form
    840,151,808.30/1,260,227,712.45 = 840,151,808.30/x
  3. Step 3: Cross multiply
    840,151,808.30x = 1,260,227,712.45 × 840,151,808.30
  4. Step 4: Simplify right side
    840,151,808.30x = 1,058,782,591,484,639,872
  5. Step 5: Solve for x
    x = 1,058,782,591,484,639,872/840,151,808.30
  6. Step 6: Final answer
    x = 1,260,227,712.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.