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Finding the Fourth Proportional to 5,410,988,631,027.30, 8,116,482,946,541.40 and 5,410,988,631,027.30

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Solution

The fourth proportional to 5,410,988,631,027.30, 8,116,482,946,541.40 and 5,410,988,631,027.30 is: 8,116,482,946,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,988,631,027.30 : 8,116,482,946,541.40 = 5,410,988,631,027.30 : x
  2. Step 2: Convert to fraction form
    5,410,988,631,027.30/8,116,482,946,541.40 = 5,410,988,631,027.30/x
  3. Step 3: Cross multiply
    5,410,988,631,027.30x = 8,116,482,946,541.40 × 5,410,988,631,027.30
  4. Step 4: Simplify right side
    5,410,988,631,027.30x = 43,918,196,947,662,472,673,755,136
  5. Step 5: Solve for x
    x = 43,918,196,947,662,472,673,755,136/5,410,988,631,027.30
  6. Step 6: Final answer
    x = 8,116,482,946,541.40

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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.