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Finding the Fourth Proportional to 128,429,000,514.45, 192,643,500,771.67 and 128,429,000,514.45

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Solution

The fourth proportional to 128,429,000,514.45, 192,643,500,771.67 and 128,429,000,514.45 is: 192,643,500,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,429,000,514.45 : 192,643,500,771.67 = 128,429,000,514.45 : x
  2. Step 2: Convert to fraction form
    128,429,000,514.45/192,643,500,771.67 = 128,429,000,514.45/x
  3. Step 3: Cross multiply
    128,429,000,514.45x = 192,643,500,771.67 × 128,429,000,514.45
  4. Step 4: Simplify right side
    128,429,000,514.45x = 24,741,012,259,710,254,972,928
  5. Step 5: Solve for x
    x = 24,741,012,259,710,254,972,928/128,429,000,514.45
  6. Step 6: Final answer
    x = 192,643,500,771.67

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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.