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Finding the Fourth Proportional to 1,055,276,016,014, 1,582,914,024,021.10 and 1,055,276,016,014

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Solution

The fourth proportional to 1,055,276,016,014, 1,582,914,024,021.10 and 1,055,276,016,014 is: 1,582,914,024,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,276,016,014 : 1,582,914,024,021.10 = 1,055,276,016,014 : x
  2. Step 2: Convert to fraction form
    1,055,276,016,014/1,582,914,024,021.10 = 1,055,276,016,014/x
  3. Step 3: Cross multiply
    1,055,276,016,014x = 1,582,914,024,021.10 × 1,055,276,016,014
  4. Step 4: Simplify right side
    1,055,276,016,014x = 1,670,411,204,961,675,599,937,536
  5. Step 5: Solve for x
    x = 1,670,411,204,961,675,599,937,536/1,055,276,016,014
  6. Step 6: Final answer
    x = 1,582,914,024,021.10

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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.