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Finding the Fourth Proportional to 619,381,309,214.93, 929,071,963,822.40 and 619,381,309,214.93

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Solution

The fourth proportional to 619,381,309,214.93, 929,071,963,822.40 and 619,381,309,214.93 is: 929,071,963,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381,309,214.93 : 929,071,963,822.40 = 619,381,309,214.93 : x
  2. Step 2: Convert to fraction form
    619,381,309,214.93/929,071,963,822.40 = 619,381,309,214.93/x
  3. Step 3: Cross multiply
    619,381,309,214.93x = 929,071,963,822.40 × 619,381,309,214.93
  4. Step 4: Simplify right side
    619,381,309,214.93x = 575,449,809,307,204,262,559,744
  5. Step 5: Solve for x
    x = 575,449,809,307,204,262,559,744/619,381,309,214.93
  6. Step 6: Final answer
    x = 929,071,963,822.40

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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.