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Finding the Fourth Proportional to 99,648,234.80, 149,495,971.80 and 51,133,576.40

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Solution

The fourth proportional to 99,648,234.80, 149,495,971.80 and 51,133,576.40 is: 76,712,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648,234.80 : 149,495,971.80 = 51,133,576.40 : x
  2. Step 2: Convert to fraction form
    99,648,234.80/149,495,971.80 = 51,133,576.40/x
  3. Step 3: Cross multiply
    99,648,234.80x = 149,495,971.80 × 51,133,576.40
  4. Step 4: Simplify right side
    99,648,234.80x = 7,644,263,695,527,546
  5. Step 5: Solve for x
    x = 7,644,263,695,527,546/99,648,234.80
  6. Step 6: Final answer
    x = 76,712,484.78

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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.