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Finding the Fourth Proportional to 553,672,506.60, 830,402,471.70 and 165,508,000.20

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Solution

The fourth proportional to 553,672,506.60, 830,402,471.70 and 165,508,000.20 is: 248,230,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,672,506.60 : 830,402,471.70 = 165,508,000.20 : x
  2. Step 2: Convert to fraction form
    553,672,506.60/830,402,471.70 = 165,508,000.20/x
  3. Step 3: Cross multiply
    553,672,506.60x = 830,402,471.70 × 165,508,000.20
  4. Step 4: Simplify right side
    553,672,506.60x = 137,438,252,452,204,096
  5. Step 5: Solve for x
    x = 137,438,252,452,204,096/553,672,506.60
  6. Step 6: Final answer
    x = 248,230,227.82

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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.