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Finding the Fourth Proportional to 201,643,294.30, 302,464,941.45 and 99,456,286.30

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Solution

The fourth proportional to 201,643,294.30, 302,464,941.45 and 99,456,286.30 is: 149,184,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643,294.30 : 302,464,941.45 = 99,456,286.30 : x
  2. Step 2: Convert to fraction form
    201,643,294.30/302,464,941.45 = 99,456,286.30/x
  3. Step 3: Cross multiply
    201,643,294.30x = 302,464,941.45 × 99,456,286.30
  4. Step 4: Simplify right side
    201,643,294.30x = 30,082,039,812,563,936
  5. Step 5: Solve for x
    x = 30,082,039,812,563,936/201,643,294.30
  6. Step 6: Final answer
    x = 149,184,429.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.