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Finding the Fourth Proportional to 33,028,076,307.90, 49,542,114,461.85 and 33,028,076,307.90

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Solution

The fourth proportional to 33,028,076,307.90, 49,542,114,461.85 and 33,028,076,307.90 is: 49,542,114,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028,076,307.90 : 49,542,114,461.85 = 33,028,076,307.90 : x
  2. Step 2: Convert to fraction form
    33,028,076,307.90/49,542,114,461.85 = 33,028,076,307.90/x
  3. Step 3: Cross multiply
    33,028,076,307.90x = 49,542,114,461.85 × 33,028,076,307.90
  4. Step 4: Simplify right side
    33,028,076,307.90x = 1,636,280,736,900,698,079,232
  5. Step 5: Solve for x
    x = 1,636,280,736,900,698,079,232/33,028,076,307.90
  6. Step 6: Final answer
    x = 49,542,114,461.85

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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.