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Finding the Fourth Proportional to 52,474,608,082.30, 78,711,912,123.45 and 52,474,608,082.30

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Solution

The fourth proportional to 52,474,608,082.30, 78,711,912,123.45 and 52,474,608,082.30 is: 78,711,912,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474,608,082.30 : 78,711,912,123.45 = 52,474,608,082.30 : x
  2. Step 2: Convert to fraction form
    52,474,608,082.30/78,711,912,123.45 = 52,474,608,082.30/x
  3. Step 3: Cross multiply
    52,474,608,082.30x = 78,711,912,123.45 × 52,474,608,082.30
  4. Step 4: Simplify right side
    52,474,608,082.30x = 4,130,376,740,086,476,701,696
  5. Step 5: Solve for x
    x = 4,130,376,740,086,476,701,696/52,474,608,082.30
  6. Step 6: Final answer
    x = 78,711,912,123.45

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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.