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Finding the Fourth Proportional to 612,908,694,003.45, 919,363,041,005.17 and 612,908,694,003.45

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Solution

The fourth proportional to 612,908,694,003.45, 919,363,041,005.17 and 612,908,694,003.45 is: 919,363,041,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,908,694,003.45 : 919,363,041,005.17 = 612,908,694,003.45 : x
  2. Step 2: Convert to fraction form
    612,908,694,003.45/919,363,041,005.17 = 612,908,694,003.45/x
  3. Step 3: Cross multiply
    612,908,694,003.45x = 919,363,041,005.17 × 612,908,694,003.45
  4. Step 4: Simplify right side
    612,908,694,003.45x = 563,485,600,777,518,943,567,872
  5. Step 5: Solve for x
    x = 563,485,600,777,518,943,567,872/612,908,694,003.45
  6. Step 6: Final answer
    x = 919,363,041,005.17

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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.