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Finding the Fourth Proportional to 201,204,551.40, 301,806,827.10 and 175,695,383.40

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Solution

The fourth proportional to 201,204,551.40, 301,806,827.10 and 175,695,383.40 is: 263,543,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,551.40 : 301,806,827.10 = 175,695,383.40 : x
  2. Step 2: Convert to fraction form
    201,204,551.40/301,806,827.10 = 175,695,383.40/x
  3. Step 3: Cross multiply
    201,204,551.40x = 301,806,827.10 × 175,695,383.40
  4. Step 4: Simplify right side
    201,204,551.40x = 53,026,066,200,072,016
  5. Step 5: Solve for x
    x = 53,026,066,200,072,016/201,204,551.40
  6. Step 6: Final answer
    x = 263,543,075.10

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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.