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Finding the Fourth Proportional to 93,533,616,000.11, 140,300,424,000.17 and 93,533,616,000.11

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Solution

The fourth proportional to 93,533,616,000.11, 140,300,424,000.17 and 93,533,616,000.11 is: 140,300,424,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,533,616,000.11 : 140,300,424,000.17 = 93,533,616,000.11 : x
  2. Step 2: Convert to fraction form
    93,533,616,000.11/140,300,424,000.17 = 93,533,616,000.11/x
  3. Step 3: Cross multiply
    93,533,616,000.11x = 140,300,424,000.17 × 93,533,616,000.11
  4. Step 4: Simplify right side
    93,533,616,000.11x = 13,122,805,983,084,518,834,176
  5. Step 5: Solve for x
    x = 13,122,805,983,084,518,834,176/93,533,616,000.11
  6. Step 6: Final answer
    x = 140,300,424,000.17

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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.