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Finding the Fourth Proportional to 654,700,497.78, 904,668,519.86 and 466,201,536.57

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Solution

The fourth proportional to 654,700,497.78, 904,668,519.86 and 466,201,536.57 is: 644,199,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,700,497.78 : 904,668,519.86 = 466,201,536.57 : x
  2. Step 2: Convert to fraction form
    654,700,497.78/904,668,519.86 = 466,201,536.57/x
  3. Step 3: Cross multiply
    654,700,497.78x = 904,668,519.86 × 466,201,536.57
  4. Step 4: Simplify right side
    654,700,497.78x = 421,757,854,045,239,552
  5. Step 5: Solve for x
    x = 421,757,854,045,239,552/654,700,497.78
  6. Step 6: Final answer
    x = 644,199,684.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.