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Finding the Fourth Proportional to 128,127,744,000.23, 192,191,616,000.34 and 128,127,744,000.23

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Solution

The fourth proportional to 128,127,744,000.23, 192,191,616,000.34 and 128,127,744,000.23 is: 192,191,616,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127,744,000.23 : 192,191,616,000.34 = 128,127,744,000.23 : x
  2. Step 2: Convert to fraction form
    128,127,744,000.23/192,191,616,000.34 = 128,127,744,000.23/x
  3. Step 3: Cross multiply
    128,127,744,000.23x = 192,191,616,000.34 × 128,127,744,000.23
  4. Step 4: Simplify right side
    128,127,744,000.23x = 24,625,078,173,882,071,908,352
  5. Step 5: Solve for x
    x = 24,625,078,173,882,071,908,352/128,127,744,000.23
  6. Step 6: Final answer
    x = 192,191,616,000.34

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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.