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Finding the Fourth Proportional to 401,731,214.40, 602,447,522.40 and 159,343,963.20

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Solution

The fourth proportional to 401,731,214.40, 602,447,522.40 and 159,343,963.20 is: 238,956,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,731,214.40 : 602,447,522.40 = 159,343,963.20 : x
  2. Step 2: Convert to fraction form
    401,731,214.40/602,447,522.40 = 159,343,963.20/x
  3. Step 3: Cross multiply
    401,731,214.40x = 602,447,522.40 × 159,343,963.20
  4. Step 4: Simplify right side
    401,731,214.40x = 95,996,375,839,236,768
  5. Step 5: Solve for x
    x = 95,996,375,839,236,768/401,731,214.40
  6. Step 6: Final answer
    x = 238,956,726.28

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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.