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Finding the Fourth Proportional to 152,065,613.70, 213,429,336.30 and 152,065,613.70

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Solution

The fourth proportional to 152,065,613.70, 213,429,336.30 and 152,065,613.70 is: 213,429,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,065,613.70 : 213,429,336.30 = 152,065,613.70 : x
  2. Step 2: Convert to fraction form
    152,065,613.70/213,429,336.30 = 152,065,613.70/x
  3. Step 3: Cross multiply
    152,065,613.70x = 213,429,336.30 × 152,065,613.70
  4. Step 4: Simplify right side
    152,065,613.70x = 32,455,263,006,043,188
  5. Step 5: Solve for x
    x = 32,455,263,006,043,188/152,065,613.70
  6. Step 6: Final answer
    x = 213,429,336.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.