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Finding the Fourth Proportional to 5,050,815,264,000.40, 7,576,222,896,000.80 and 5,050,815,264,000.40

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Solution

The fourth proportional to 5,050,815,264,000.40, 7,576,222,896,000.80 and 5,050,815,264,000.40 is: 7,576,222,896,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050,815,264,000.40 : 7,576,222,896,000.80 = 5,050,815,264,000.40 : x
  2. Step 2: Convert to fraction form
    5,050,815,264,000.40/7,576,222,896,000.80 = 5,050,815,264,000.40/x
  3. Step 3: Cross multiply
    5,050,815,264,000.40x = 7,576,222,896,000.80 × 5,050,815,264,000.40
  4. Step 4: Simplify right side
    5,050,815,264,000.40x = 38,266,102,246,590,157,483,409,408
  5. Step 5: Solve for x
    x = 38,266,102,246,590,157,483,409,408/5,050,815,264,000.40
  6. Step 6: Final answer
    x = 7,576,222,896,000.80

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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.