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Finding the Fourth Proportional to 183,520,458,041.20, 275,280,687,061.78 and 183,520,458,041.20

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Solution

The fourth proportional to 183,520,458,041.20, 275,280,687,061.78 and 183,520,458,041.20 is: 275,280,687,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520,458,041.20 : 275,280,687,061.78 = 183,520,458,041.20 : x
  2. Step 2: Convert to fraction form
    183,520,458,041.20/275,280,687,061.78 = 183,520,458,041.20/x
  3. Step 3: Cross multiply
    183,520,458,041.20x = 275,280,687,061.78 × 183,520,458,041.20
  4. Step 4: Simplify right side
    183,520,458,041.20x = 50,519,637,779,474,112,577,536
  5. Step 5: Solve for x
    x = 50,519,637,779,474,112,577,536/183,520,458,041.20
  6. Step 6: Final answer
    x = 275,280,687,061.78

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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.