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Finding the Fourth Proportional to 85,061,874,875.60, 127,592,812,313.40 and 85,061,874,875.60

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Solution

The fourth proportional to 85,061,874,875.60, 127,592,812,313.40 and 85,061,874,875.60 is: 127,592,812,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,061,874,875.60 : 127,592,812,313.40 = 85,061,874,875.60 : x
  2. Step 2: Convert to fraction form
    85,061,874,875.60/127,592,812,313.40 = 85,061,874,875.60/x
  3. Step 3: Cross multiply
    85,061,874,875.60x = 127,592,812,313.40 × 85,061,874,875.60
  4. Step 4: Simplify right side
    85,061,874,875.60x = 10,853,283,836,028,346,433,536
  5. Step 5: Solve for x
    x = 10,853,283,836,028,346,433,536/85,061,874,875.60
  6. Step 6: Final answer
    x = 127,592,812,313.40

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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.