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Finding the Fourth Proportional to 534,996,470.40, 802,494,705.60 and 534,996,470.40

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Solution

The fourth proportional to 534,996,470.40, 802,494,705.60 and 534,996,470.40 is: 802,494,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,996,470.40 : 802,494,705.60 = 534,996,470.40 : x
  2. Step 2: Convert to fraction form
    534,996,470.40/802,494,705.60 = 534,996,470.40/x
  3. Step 3: Cross multiply
    534,996,470.40x = 802,494,705.60 × 534,996,470.40
  4. Step 4: Simplify right side
    534,996,470.40x = 429,331,835,010,687,104
  5. Step 5: Solve for x
    x = 429,331,835,010,687,104/534,996,470.40
  6. Step 6: Final answer
    x = 802,494,705.60

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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.