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Finding the Fourth Proportional to 200,238,051.60, 300,357,077.40 and 186,208,009.20

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Solution

The fourth proportional to 200,238,051.60, 300,357,077.40 and 186,208,009.20 is: 279,312,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,238,051.60 : 300,357,077.40 = 186,208,009.20 : x
  2. Step 2: Convert to fraction form
    200,238,051.60/300,357,077.40 = 186,208,009.20/x
  3. Step 3: Cross multiply
    200,238,051.60x = 300,357,077.40 × 186,208,009.20
  4. Step 4: Simplify right side
    200,238,051.60x = 55,928,893,431,784,304
  5. Step 5: Solve for x
    x = 55,928,893,431,784,304/200,238,051.60
  6. Step 6: Final answer
    x = 279,312,013.80

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