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Finding the Fourth Proportional to 282,058,442.40, 422,291,401.20 and 282,058,442.40

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Solution

The fourth proportional to 282,058,442.40, 422,291,401.20 and 282,058,442.40 is: 422,291,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,058,442.40 : 422,291,401.20 = 282,058,442.40 : x
  2. Step 2: Convert to fraction form
    282,058,442.40/422,291,401.20 = 282,058,442.40/x
  3. Step 3: Cross multiply
    282,058,442.40x = 422,291,401.20 × 282,058,442.40
  4. Step 4: Simplify right side
    282,058,442.40x = 119,110,854,861,385,472
  5. Step 5: Solve for x
    x = 119,110,854,861,385,472/282,058,442.40
  6. Step 6: Final answer
    x = 422,291,401.20

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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.