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Finding the Fourth Proportional to 107,616,391,643.90, 161,424,587,465.85 and 107,616,391,643.90

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Solution

The fourth proportional to 107,616,391,643.90, 161,424,587,465.85 and 107,616,391,643.90 is: 161,424,587,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,616,391,643.90 : 161,424,587,465.85 = 107,616,391,643.90 : x
  2. Step 2: Convert to fraction form
    107,616,391,643.90/161,424,587,465.85 = 107,616,391,643.90/x
  3. Step 3: Cross multiply
    107,616,391,643.90x = 161,424,587,465.85 × 107,616,391,643.90
  4. Step 4: Simplify right side
    107,616,391,643.90x = 17,371,931,625,679,904,309,248
  5. Step 5: Solve for x
    x = 17,371,931,625,679,904,309,248/107,616,391,643.90
  6. Step 6: Final answer
    x = 161,424,587,465.85

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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.