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Finding the Fourth Proportional to 225,911,401.40, 338,867,102.10 and 157,036,647.80

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Solution

The fourth proportional to 225,911,401.40, 338,867,102.10 and 157,036,647.80 is: 235,554,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,911,401.40 : 338,867,102.10 = 157,036,647.80 : x
  2. Step 2: Convert to fraction form
    225,911,401.40/338,867,102.10 = 157,036,647.80/x
  3. Step 3: Cross multiply
    225,911,401.40x = 338,867,102.10 × 157,036,647.80
  4. Step 4: Simplify right side
    225,911,401.40x = 53,214,553,763,484,352
  5. Step 5: Solve for x
    x = 53,214,553,763,484,352/225,911,401.40
  6. Step 6: Final answer
    x = 235,554,971.70

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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.