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Finding the Fourth Proportional to 27,609,534,312.45, 41,414,301,468.68 and 27,609,534,312.45

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Solution

The fourth proportional to 27,609,534,312.45, 41,414,301,468.68 and 27,609,534,312.45 is: 41,414,301,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609,534,312.45 : 41,414,301,468.68 = 27,609,534,312.45 : x
  2. Step 2: Convert to fraction form
    27,609,534,312.45/41,414,301,468.68 = 27,609,534,312.45/x
  3. Step 3: Cross multiply
    27,609,534,312.45x = 41,414,301,468.68 × 27,609,534,312.45
  4. Step 4: Simplify right side
    27,609,534,312.45x = 1,143,429,577,425,668,931,584
  5. Step 5: Solve for x
    x = 1,143,429,577,425,668,931,584/27,609,534,312.45
  6. Step 6: Final answer
    x = 41,414,301,468.68

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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.