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Finding the Fourth Proportional to 11,598,344,177.60, 17,397,516,266.40 and 11,598,344,177.60

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Solution

The fourth proportional to 11,598,344,177.60, 17,397,516,266.40 and 11,598,344,177.60 is: 17,397,516,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598,344,177.60 : 17,397,516,266.40 = 11,598,344,177.60 : x
  2. Step 2: Convert to fraction form
    11,598,344,177.60/17,397,516,266.40 = 11,598,344,177.60/x
  3. Step 3: Cross multiply
    11,598,344,177.60x = 17,397,516,266.40 × 11,598,344,177.60
  4. Step 4: Simplify right side
    11,598,344,177.60x = 201,782,381,493,101,756,416
  5. Step 5: Solve for x
    x = 201,782,381,493,101,756,416/11,598,344,177.60
  6. Step 6: Final answer
    x = 17,397,516,266.40

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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.