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Finding the Fourth Proportional to 568,748,708.70, 853,123,063.05 and 514,329,150.30

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Solution

The fourth proportional to 568,748,708.70, 853,123,063.05 and 514,329,150.30 is: 771,493,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,748,708.70 : 853,123,063.05 = 514,329,150.30 : x
  2. Step 2: Convert to fraction form
    568,748,708.70/853,123,063.05 = 514,329,150.30/x
  3. Step 3: Cross multiply
    568,748,708.70x = 853,123,063.05 × 514,329,150.30
  4. Step 4: Simplify right side
    568,748,708.70x = 438,786,060,119,839,808
  5. Step 5: Solve for x
    x = 438,786,060,119,839,808/568,748,708.70
  6. Step 6: Final answer
    x = 771,493,725.45

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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.