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Finding the Fourth Proportional to 553,317,829.57, 829,465,986.91 and 276,728,360.57

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Solution

The fourth proportional to 553,317,829.57, 829,465,986.91 and 276,728,360.57 is: 414,837,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,317,829.57 : 829,465,986.91 = 276,728,360.57 : x
  2. Step 2: Convert to fraction form
    553,317,829.57/829,465,986.91 = 276,728,360.57/x
  3. Step 3: Cross multiply
    553,317,829.57x = 829,465,986.91 × 276,728,360.57
  4. Step 4: Simplify right side
    553,317,829.57x = 229,536,762,708,075,872
  5. Step 5: Solve for x
    x = 229,536,762,708,075,872/553,317,829.57
  6. Step 6: Final answer
    x = 414,837,098.03

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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.