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Finding the Fourth Proportional to 332,563,968,082.60, 498,845,952,123.90 and 332,563,968,082.60

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Solution

The fourth proportional to 332,563,968,082.60, 498,845,952,123.90 and 332,563,968,082.60 is: 498,845,952,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,563,968,082.60 : 498,845,952,123.90 = 332,563,968,082.60 : x
  2. Step 2: Convert to fraction form
    332,563,968,082.60/498,845,952,123.90 = 332,563,968,082.60/x
  3. Step 3: Cross multiply
    332,563,968,082.60x = 498,845,952,123.90 × 332,563,968,082.60
  4. Step 4: Simplify right side
    332,563,968,082.60x = 165,898,189,300,266,893,836,288
  5. Step 5: Solve for x
    x = 165,898,189,300,266,893,836,288/332,563,968,082.60
  6. Step 6: Final answer
    x = 498,845,952,123.90

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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.