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Finding the Fourth Proportional to 413,828,188,977.90, 620,742,283,466.85 and 413,828,188,977.90

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Solution

The fourth proportional to 413,828,188,977.90, 620,742,283,466.85 and 413,828,188,977.90 is: 620,742,283,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,828,188,977.90 : 620,742,283,466.85 = 413,828,188,977.90 : x
  2. Step 2: Convert to fraction form
    413,828,188,977.90/620,742,283,466.85 = 413,828,188,977.90/x
  3. Step 3: Cross multiply
    413,828,188,977.90x = 620,742,283,466.85 × 413,828,188,977.90
  4. Step 4: Simplify right side
    413,828,188,977.90x = 256,880,654,989,092,768,972,800
  5. Step 5: Solve for x
    x = 256,880,654,989,092,768,972,800/413,828,188,977.90
  6. Step 6: Final answer
    x = 620,742,283,466.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.