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Finding the Fourth Proportional to 488,761,938,000.55, 733,142,907,000.80 and 488,761,938,000.55

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Solution

The fourth proportional to 488,761,938,000.55, 733,142,907,000.80 and 488,761,938,000.55 is: 733,142,907,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,761,938,000.55 : 733,142,907,000.80 = 488,761,938,000.55 : x
  2. Step 2: Convert to fraction form
    488,761,938,000.55/733,142,907,000.80 = 488,761,938,000.55/x
  3. Step 3: Cross multiply
    488,761,938,000.55x = 733,142,907,000.80 × 488,761,938,000.55
  4. Step 4: Simplify right side
    488,761,938,000.55x = 358,332,348,057,068,047,958,016
  5. Step 5: Solve for x
    x = 358,332,348,057,068,047,958,016/488,761,938,000.55
  6. Step 6: Final answer
    x = 733,142,907,000.80

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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.