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Finding the Fourth Proportional to 724,896,515.35, 1,087,344,773.03 and 724,896,515.35

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Solution

The fourth proportional to 724,896,515.35, 1,087,344,773.03 and 724,896,515.35 is: 1,087,344,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,896,515.35 : 1,087,344,773.03 = 724,896,515.35 : x
  2. Step 2: Convert to fraction form
    724,896,515.35/1,087,344,773.03 = 724,896,515.35/x
  3. Step 3: Cross multiply
    724,896,515.35x = 1,087,344,773.03 × 724,896,515.35
  4. Step 4: Simplify right side
    724,896,515.35x = 788,212,436,953,483,648
  5. Step 5: Solve for x
    x = 788,212,436,953,483,648/724,896,515.35
  6. Step 6: Final answer
    x = 1,087,344,773.03

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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.