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Finding the Fourth Proportional to 201,807,642.10, 282,722,017.70 and 201,807,642.10

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Solution

The fourth proportional to 201,807,642.10, 282,722,017.70 and 201,807,642.10 is: 282,722,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807,642.10 : 282,722,017.70 = 201,807,642.10 : x
  2. Step 2: Convert to fraction form
    201,807,642.10/282,722,017.70 = 201,807,642.10/x
  3. Step 3: Cross multiply
    201,807,642.10x = 282,722,017.70 × 201,807,642.10
  4. Step 4: Simplify right side
    201,807,642.10x = 57,055,463,761,791,464
  5. Step 5: Solve for x
    x = 57,055,463,761,791,464/201,807,642.10
  6. Step 6: Final answer
    x = 282,722,017.70

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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.