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Finding the Fourth Proportional to 201,369,699.40, 282,682,854.20 and 201,369,699.40

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Solution

The fourth proportional to 201,369,699.40, 282,682,854.20 and 201,369,699.40 is: 282,682,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,369,699.40 : 282,682,854.20 = 201,369,699.40 : x
  2. Step 2: Convert to fraction form
    201,369,699.40/282,682,854.20 = 201,369,699.40/x
  3. Step 3: Cross multiply
    201,369,699.40x = 282,682,854.20 × 201,369,699.40
  4. Step 4: Simplify right side
    201,369,699.40x = 56,923,761,375,788,024
  5. Step 5: Solve for x
    x = 56,923,761,375,788,024/201,369,699.40
  6. Step 6: Final answer
    x = 282,682,854.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.