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Finding the Fourth Proportional to 340,111,624,371.90, 510,167,436,557.85 and 340,111,624,371.90

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Solution

The fourth proportional to 340,111,624,371.90, 510,167,436,557.85 and 340,111,624,371.90 is: 510,167,436,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,111,624,371.90 : 510,167,436,557.85 = 340,111,624,371.90 : x
  2. Step 2: Convert to fraction form
    340,111,624,371.90/510,167,436,557.85 = 340,111,624,371.90/x
  3. Step 3: Cross multiply
    340,111,624,371.90x = 510,167,436,557.85 × 340,111,624,371.90
  4. Step 4: Simplify right side
    340,111,624,371.90x = 173,513,875,549,338,598,375,424
  5. Step 5: Solve for x
    x = 173,513,875,549,338,598,375,424/340,111,624,371.90
  6. Step 6: Final answer
    x = 510,167,436,557.85

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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.