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Finding the Fourth Proportional to 135,655,207,775.10, 203,482,811,662.65 and 135,655,207,775.10

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Solution

The fourth proportional to 135,655,207,775.10, 203,482,811,662.65 and 135,655,207,775.10 is: 203,482,811,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655,207,775.10 : 203,482,811,662.65 = 135,655,207,775.10 : x
  2. Step 2: Convert to fraction form
    135,655,207,775.10/203,482,811,662.65 = 135,655,207,775.10/x
  3. Step 3: Cross multiply
    135,655,207,775.10x = 203,482,811,662.65 × 135,655,207,775.10
  4. Step 4: Simplify right side
    135,655,207,775.10x = 27,603,503,094,758,329,286,656
  5. Step 5: Solve for x
    x = 27,603,503,094,758,329,286,656/135,655,207,775.10
  6. Step 6: Final answer
    x = 203,482,811,662.65

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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.