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Finding the Fourth Proportional to 201,617,999.10, 302,426,998.65 and 201,617,999.10

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Solution

The fourth proportional to 201,617,999.10, 302,426,998.65 and 201,617,999.10 is: 302,426,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,617,999.10 : 302,426,998.65 = 201,617,999.10 : x
  2. Step 2: Convert to fraction form
    201,617,999.10/302,426,998.65 = 201,617,999.10/x
  3. Step 3: Cross multiply
    201,617,999.10x = 302,426,998.65 × 201,617,999.10
  4. Step 4: Simplify right side
    201,617,999.10x = 60,974,726,341,631,392
  5. Step 5: Solve for x
    x = 60,974,726,341,631,392/201,617,999.10
  6. Step 6: Final answer
    x = 302,426,998.65

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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.