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Finding the Fourth Proportional to 106,416,011.40, 159,687,002.70 and 70,129,307.40

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Solution

The fourth proportional to 106,416,011.40, 159,687,002.70 and 70,129,307.40 is: 105,235,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,416,011.40 : 159,687,002.70 = 70,129,307.40 : x
  2. Step 2: Convert to fraction form
    106,416,011.40/159,687,002.70 = 70,129,307.40/x
  3. Step 3: Cross multiply
    106,416,011.40x = 159,687,002.70 × 70,129,307.40
  4. Step 4: Simplify right side
    106,416,011.40x = 11,198,738,900,132,930
  5. Step 5: Solve for x
    x = 11,198,738,900,132,930/106,416,011.40
  6. Step 6: Final answer
    x = 105,235,469.29

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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.