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Finding the Fourth Proportional to 242,789,724.15, 364,184,586.23 and 242,789,724.15

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Solution

The fourth proportional to 242,789,724.15, 364,184,586.23 and 242,789,724.15 is: 364,184,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,789,724.15 : 364,184,586.23 = 242,789,724.15 : x
  2. Step 2: Convert to fraction form
    242,789,724.15/364,184,586.23 = 242,789,724.15/x
  3. Step 3: Cross multiply
    242,789,724.15x = 364,184,586.23 × 242,789,724.15
  4. Step 4: Simplify right side
    242,789,724.15x = 88,420,275,229,249,648
  5. Step 5: Solve for x
    x = 88,420,275,229,249,648/242,789,724.15
  6. Step 6: Final answer
    x = 364,184,586.23

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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.