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Finding the Fourth Proportional to 51,099,446,461.60, 76,649,169,692.40 and 51,099,446,461.60

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Solution

The fourth proportional to 51,099,446,461.60, 76,649,169,692.40 and 51,099,446,461.60 is: 76,649,169,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,099,446,461.60 : 76,649,169,692.40 = 51,099,446,461.60 : x
  2. Step 2: Convert to fraction form
    51,099,446,461.60/76,649,169,692.40 = 51,099,446,461.60/x
  3. Step 3: Cross multiply
    51,099,446,461.60x = 76,649,169,692.40 × 51,099,446,461.60
  4. Step 4: Simplify right side
    51,099,446,461.60x = 3,916,730,143,022,886,944,768
  5. Step 5: Solve for x
    x = 3,916,730,143,022,886,944,768/51,099,446,461.60
  6. Step 6: Final answer
    x = 76,649,169,692.40

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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.