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Finding the Fourth Proportional to 550,658,306.88, 825,981,861.60 and 141,712,868.16

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Solution

The fourth proportional to 550,658,306.88, 825,981,861.60 and 141,712,868.16 is: 212,567,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,658,306.88 : 825,981,861.60 = 141,712,868.16 : x
  2. Step 2: Convert to fraction form
    550,658,306.88/825,981,861.60 = 141,712,868.16/x
  3. Step 3: Cross multiply
    550,658,306.88x = 825,981,861.60 × 141,712,868.16
  4. Step 4: Simplify right side
    550,658,306.88x = 117,052,258,655,472,160
  5. Step 5: Solve for x
    x = 117,052,258,655,472,160/550,658,306.88
  6. Step 6: Final answer
    x = 212,567,861.40

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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.