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Finding the Fourth Proportional to 619,381,309,266.68, 929,071,963,900.02 and 619,381,309,266.68

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Solution

The fourth proportional to 619,381,309,266.68, 929,071,963,900.02 and 619,381,309,266.68 is: 929,071,963,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381,309,266.68 : 929,071,963,900.02 = 619,381,309,266.68 : x
  2. Step 2: Convert to fraction form
    619,381,309,266.68/929,071,963,900.02 = 619,381,309,266.68/x
  3. Step 3: Cross multiply
    619,381,309,266.68x = 929,071,963,900.02 × 619,381,309,266.68
  4. Step 4: Simplify right side
    619,381,309,266.68x = 575,449,809,403,360,124,600,320
  5. Step 5: Solve for x
    x = 575,449,809,403,360,124,600,320/619,381,309,266.68
  6. Step 6: Final answer
    x = 929,071,963,900.02

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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.