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Finding the Fourth Proportional to 107,616,391,570.90, 161,424,587,356.35 and 107,616,391,570.90

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Solution

The fourth proportional to 107,616,391,570.90, 161,424,587,356.35 and 107,616,391,570.90 is: 161,424,587,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,616,391,570.90 : 161,424,587,356.35 = 107,616,391,570.90 : x
  2. Step 2: Convert to fraction form
    107,616,391,570.90/161,424,587,356.35 = 107,616,391,570.90/x
  3. Step 3: Cross multiply
    107,616,391,570.90x = 161,424,587,356.35 × 107,616,391,570.90
  4. Step 4: Simplify right side
    107,616,391,570.90x = 17,371,931,602,111,915,098,112
  5. Step 5: Solve for x
    x = 17,371,931,602,111,915,098,112/107,616,391,570.90
  6. Step 6: Final answer
    x = 161,424,587,356.35

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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.