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Finding the Fourth Proportional to 135,655,208,225.60, 203,482,812,338.40 and 135,655,208,225.60

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Solution

The fourth proportional to 135,655,208,225.60, 203,482,812,338.40 and 135,655,208,225.60 is: 203,482,812,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655,208,225.60 : 203,482,812,338.40 = 135,655,208,225.60 : x
  2. Step 2: Convert to fraction form
    135,655,208,225.60/203,482,812,338.40 = 135,655,208,225.60/x
  3. Step 3: Cross multiply
    135,655,208,225.60x = 203,482,812,338.40 × 135,655,208,225.60
  4. Step 4: Simplify right side
    135,655,208,225.60x = 27,603,503,278,096,339,959,808
  5. Step 5: Solve for x
    x = 27,603,503,278,096,339,959,808/135,655,208,225.60
  6. Step 6: Final answer
    x = 203,482,812,338.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.