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Finding the Fourth Proportional to 37,136,466,177.40, 55,704,699,266.10 and 37,136,466,177.40

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Solution

The fourth proportional to 37,136,466,177.40, 55,704,699,266.10 and 37,136,466,177.40 is: 55,704,699,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136,466,177.40 : 55,704,699,266.10 = 37,136,466,177.40 : x
  2. Step 2: Convert to fraction form
    37,136,466,177.40/55,704,699,266.10 = 37,136,466,177.40/x
  3. Step 3: Cross multiply
    37,136,466,177.40x = 55,704,699,266.10 × 37,136,466,177.40
  4. Step 4: Simplify right side
    37,136,466,177.40x = 2,068,675,680,217,761,316,864
  5. Step 5: Solve for x
    x = 2,068,675,680,217,761,316,864/37,136,466,177.40
  6. Step 6: Final answer
    x = 55,704,699,266.10

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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.