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Finding the Fourth Proportional to 553,106,016.45, 829,659,024.68 and 553,106,016.45

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Solution

The fourth proportional to 553,106,016.45, 829,659,024.68 and 553,106,016.45 is: 829,659,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,106,016.45 : 829,659,024.68 = 553,106,016.45 : x
  2. Step 2: Convert to fraction form
    553,106,016.45/829,659,024.68 = 553,106,016.45/x
  3. Step 3: Cross multiply
    553,106,016.45x = 829,659,024.68 × 553,106,016.45
  4. Step 4: Simplify right side
    553,106,016.45x = 458,889,398,149,781,504
  5. Step 5: Solve for x
    x = 458,889,398,149,781,504/553,106,016.45
  6. Step 6: Final answer
    x = 829,659,024.68

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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.