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Finding the Fourth Proportional to 128,429,000,516.20, 192,643,500,774.30 and 128,429,000,516.20

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Solution

The fourth proportional to 128,429,000,516.20, 192,643,500,774.30 and 128,429,000,516.20 is: 192,643,500,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,429,000,516.20 : 192,643,500,774.30 = 128,429,000,516.20 : x
  2. Step 2: Convert to fraction form
    128,429,000,516.20/192,643,500,774.30 = 128,429,000,516.20/x
  3. Step 3: Cross multiply
    128,429,000,516.20x = 192,643,500,774.30 × 128,429,000,516.20
  4. Step 4: Simplify right side
    128,429,000,516.20x = 24,741,012,260,385,147,846,656
  5. Step 5: Solve for x
    x = 24,741,012,260,385,147,846,656/128,429,000,516.20
  6. Step 6: Final answer
    x = 192,643,500,774.30

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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.