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Finding the Fourth Proportional to 534,856,534.45, 802,284,801.68 and 534,856,534.45

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Solution

The fourth proportional to 534,856,534.45, 802,284,801.68 and 534,856,534.45 is: 802,284,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,856,534.45 : 802,284,801.68 = 534,856,534.45 : x
  2. Step 2: Convert to fraction form
    534,856,534.45/802,284,801.68 = 534,856,534.45/x
  3. Step 3: Cross multiply
    534,856,534.45x = 802,284,801.68 × 534,856,534.45
  4. Step 4: Simplify right side
    534,856,534.45x = 429,107,268,668,470,272
  5. Step 5: Solve for x
    x = 429,107,268,668,470,272/534,856,534.45
  6. Step 6: Final answer
    x = 802,284,801.68

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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.