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Finding the Fourth Proportional to 553,317,838.90, 829,466,000.80 and 276,728,369.90

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Solution

The fourth proportional to 553,317,838.90, 829,466,000.80 and 276,728,369.90 is: 414,837,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,317,838.90 : 829,466,000.80 = 276,728,369.90 : x
  2. Step 2: Convert to fraction form
    553,317,838.90/829,466,000.80 = 276,728,369.90/x
  3. Step 3: Cross multiply
    553,317,838.90x = 829,466,000.80 × 276,728,369.90
  4. Step 4: Simplify right side
    553,317,838.90x = 229,536,774,284,016,928
  5. Step 5: Solve for x
    x = 229,536,774,284,016,928/553,317,838.90
  6. Step 6: Final answer
    x = 414,837,111.96

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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.