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Finding the Fourth Proportional to 612,912,582,008.20, 919,368,873,012.30 and 612,912,582,008.20

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Solution

The fourth proportional to 612,912,582,008.20, 919,368,873,012.30 and 612,912,582,008.20 is: 919,368,873,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,912,582,008.20 : 919,368,873,012.30 = 612,912,582,008.20 : x
  2. Step 2: Convert to fraction form
    612,912,582,008.20/919,368,873,012.30 = 612,912,582,008.20/x
  3. Step 3: Cross multiply
    612,912,582,008.20x = 919,368,873,012.30 × 612,912,582,008.20
  4. Step 4: Simplify right side
    612,912,582,008.20x = 563,492,749,775,937,736,802,304
  5. Step 5: Solve for x
    x = 563,492,749,775,937,736,802,304/612,912,582,008.20
  6. Step 6: Final answer
    x = 919,368,873,012.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.