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Finding the Fourth Proportional to 488,761,938,007.03, 733,142,907,010.56 and 488,761,938,007.03

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Solution

The fourth proportional to 488,761,938,007.03, 733,142,907,010.56 and 488,761,938,007.03 is: 733,142,907,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,761,938,007.03 : 733,142,907,010.56 = 488,761,938,007.03 : x
  2. Step 2: Convert to fraction form
    488,761,938,007.03/733,142,907,010.56 = 488,761,938,007.03/x
  3. Step 3: Cross multiply
    488,761,938,007.03x = 733,142,907,010.56 × 488,761,938,007.03
  4. Step 4: Simplify right side
    488,761,938,007.03x = 358,332,348,066,589,118,038,016
  5. Step 5: Solve for x
    x = 358,332,348,066,589,118,038,016/488,761,938,007.03
  6. Step 6: Final answer
    x = 733,142,907,010.56

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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.