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Finding the Fourth Proportional to 209,952,242.70, 314,928,364.05 and 202,299,492.30

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Solution

The fourth proportional to 209,952,242.70, 314,928,364.05 and 202,299,492.30 is: 303,449,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,242.70 : 314,928,364.05 = 202,299,492.30 : x
  2. Step 2: Convert to fraction form
    209,952,242.70/314,928,364.05 = 202,299,492.30/x
  3. Step 3: Cross multiply
    209,952,242.70x = 314,928,364.05 × 202,299,492.30
  4. Step 4: Simplify right side
    209,952,242.70x = 63,709,848,158,184,576
  5. Step 5: Solve for x
    x = 63,709,848,158,184,576/209,952,242.70
  6. Step 6: Final answer
    x = 303,449,238.45

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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.