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Finding the Fourth Proportional to 534,854,598.70, 802,281,898.05 and 488,938,096.30

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Solution

The fourth proportional to 534,854,598.70, 802,281,898.05 and 488,938,096.30 is: 733,407,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,854,598.70 : 802,281,898.05 = 488,938,096.30 : x
  2. Step 2: Convert to fraction form
    534,854,598.70/802,281,898.05 = 488,938,096.30/x
  3. Step 3: Cross multiply
    534,854,598.70x = 802,281,898.05 × 488,938,096.30
  4. Step 4: Simplify right side
    534,854,598.70x = 392,266,183,928,517,696
  5. Step 5: Solve for x
    x = 392,266,183,928,517,696/534,854,598.70
  6. Step 6: Final answer
    x = 733,407,144.45

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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.