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Finding the Fourth Proportional to 128,414,808,045.60, 192,622,212,068.40 and 128,414,808,045.60

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Solution

The fourth proportional to 128,414,808,045.60, 192,622,212,068.40 and 128,414,808,045.60 is: 192,622,212,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414,808,045.60 : 192,622,212,068.40 = 128,414,808,045.60 : x
  2. Step 2: Convert to fraction form
    128,414,808,045.60/192,622,212,068.40 = 128,414,808,045.60/x
  3. Step 3: Cross multiply
    128,414,808,045.60x = 192,622,212,068.40 × 128,414,808,045.60
  4. Step 4: Simplify right side
    128,414,808,045.60x = 24,735,544,388,082,441,650,176
  5. Step 5: Solve for x
    x = 24,735,544,388,082,441,650,176/128,414,808,045.60
  6. Step 6: Final answer
    x = 192,622,212,068.40

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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.