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Finding the Fourth Proportional to 314,929,681.70, 472,394,522.55 and 161,874,673.70

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Solution

The fourth proportional to 314,929,681.70, 472,394,522.55 and 161,874,673.70 is: 242,812,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929,681.70 : 472,394,522.55 = 161,874,673.70 : x
  2. Step 2: Convert to fraction form
    314,929,681.70/472,394,522.55 = 161,874,673.70/x
  3. Step 3: Cross multiply
    314,929,681.70x = 472,394,522.55 × 161,874,673.70
  4. Step 4: Simplify right side
    314,929,681.70x = 76,468,709,195,448,544
  5. Step 5: Solve for x
    x = 76,468,709,195,448,544/314,929,681.70
  6. Step 6: Final answer
    x = 242,812,010.55

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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.